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Analysis for nonlinear critical phenomena described by mean field equations

Research Project

Project/Area Number 20340034
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionOsaka University

Principal Investigator

SUZUKI Takashi  大阪大学, 基礎工学研究科, 教授 (40114516)

Co-Investigator(Kenkyū-buntansha) MISAWA Masashi  熊本大学, 大学院・自然科学研究科, 教授 (40242672)
TAKAHASHI Futoshi  大阪市立大学, 大学院・理学研究科, 教授 (10374901)
NAITO Yuki  愛媛大学, 大学院・理工学研究科, 教授 (10231458)
OHTSUKA Hiroshi  宮崎大学, 工学部, 准教授 (20342470)
SUGIYAMA Yoshie  大阪市立大学, 大学院・理学研究科, 教授 (60308210)
ISHIWATA Michinori  福島大学, 共生システム理工学類, 准教授 (30350458)
KOBAYASHI Takayuki  佐賀大学, 大学院・工学系研究科, 教授 (50272133)
NAWA Hayato  大阪大学, 大学院・基礎工学研究科, 教授 (90218066)
WATANABE Kazuo  学習院大学, 理学部, 助教 (90260851)
SATO Tomohiko  日本大学, 生産工学部, 助教 (50397676)
MATSUMURA Akitaka  大阪大学, 大学院・情報科学研究科, 教授 (60115938)
YAGI Atsushi  大阪大学, 大学院・情報科学研究科, 教授 (70116119)
Co-Investigator(Renkei-kenkyūsha) MISAWA Masashi  熊本大学, 大学院・自然科学研究科, 教授 (40242672)
TAKAHASHI Futoshi  大阪市立大学, 大学院・理学研究科, 教授 (10374901)
NAITO Yuki  愛媛大学, 大学院・理工学研究科, 教授 (10231458)
OHTSUKA Hiroshi  宮崎大学, 工学部, 准教授 (20342470)
SUGIYAMA Yoshie  大阪市立大学, 大学院・理学研究科, 教授 (60308210)
KOBAYASHI Takayuki  佐賀大学, 大学院・工学系研究科, 教授 (50272133)
NAWA Hayato  大阪大学, 大学院・基礎工学研究科, 教授 (90218066)
WATANABE Kazuo  学習院大学, 理学部, 助教 (90260851)
SATO Tomohiko  日本大学, 生産工学部, 助教 (50397676)
MATSUMURA Akitaka  大阪大学, 大学院・情報科学研究科, 教授 (60115938)
YAGI Atsushi  大阪大学, 大学院・情報科学研究科, 教授 (70116119)
YOSHIKAWA Shuji  愛媛大学, 大学院・理工学研究科, 准教授 (80435461)
KUROKIBA Masaki  室蘭工業大学, 工学系研究科, 准教授 (60291837)
FURIHATA Daisuke  大阪大学, サイバーメディアセンター, 准教授 (80242014)
KUWATA Kazuhiro  首都大学東京, 理工学研究科, 教授 (10186489)
TANAKA Mieko  東京理科大学, 理学部, 助教 (00459728)
YAMADA Yoshio  早稲田大学, 理工学術院, 教授 (20111825)
SAITO Norikazu  東京大学, 大学院・数理科学研究科, 准教授 (00334706)
TAKAHASHI Ryo  大阪大学, 大学院・基礎工学研究科, 助教
TASAKI Sohei  東北大学, 大学院・理学研究科, 特別研究員
RICCIARDI Tonia  ナポリ大学
STEVENS Angela  ミュンヘン大学
KAVALLARIS Nikos  エーゲ大学
PAWLOW Irena  ワルシャワ大学
CHAPLAIN Mark  ダンディー大学
QUARANTA Vito  バンダービルト大学
CHAVANIS Pierre-henri  トゥールーズ大学
Project Period (FY) 2008 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥13,390,000 (Direct Cost: ¥10,300,000、Indirect Cost: ¥3,090,000)
Fiscal Year 2012: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2011: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2010: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2009: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2008: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Keywordsスケーリング / 双対変分構造 / 爆発 / 凝縮 / 量子化 / 点渦乱流 / 走化性 / 熱弾性 / 記憶形状物質 / 競合的走化性 / Lotka-Volterra系 / 点渦乱流平均場 / Gel’fand 方程式 / 退化放物型方程式 / Smoluchowski-Poisson方程式 / 量子化爆発機構 / 解の爆発 / 点渦乱流平均場方程式 / 漸近的非退化性 / 粘弾性記憶形状合金 / 圧縮性流体 / Hadamard変分 / 非線形現象 / 変分構造 / 自己組織化 / 特異性 / 非線形スペクトル力学 / 臨界指数 / タイプIIの爆発レート / 粘弾性熱方程式 / 腫瘍形成 / 質量量子化 / 循環的階層 / 双対変分原理 / 臨界ソボレフ指数 / コラプスの衝突 / サブコラプスの生成 / 量子化する爆発機構
Research Abstract

Several common mathematical structures are found in the models describing the motion of mean field of many particles, point vortices, and so on. In this project we focused on a series of nonlinear partial differential equations provides with scaling invariance, and also variational structure associated with a variable regarded as field. We rigorously proved several phenomena emerged from the model, such as concentration or homeostasis, and at the same time developed new mathematical tools to approach interactions between species and global dynamics under strong nonlinearities

Report

(7 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report   Self-evaluation Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (352 results)

All 2013 2012 2011 2010 2009 2008 Other

All Journal Article (146 results) (of which Peer Reviewed: 138 results) Presentation (183 results) (of which Invited: 18 results) Book (12 results) Remarks (5 results) Patent(Industrial Property Rights) (6 results) (of which Overseas: 2 results)

  • [Journal Article] Asymptotic non-degeneracy of multiple blowup solution to the Liouville-Gel’fand problem with non-constant coefficient2013

    • Author(s)
      H. Ohtsuka, T. Sato, and T. Suzuki
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 398 Pages: 692-706

    • NAID

      130005020744

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-local reaction-diffusion system involving reaction radius II, rate of convergence2013

    • Author(s)
      N. Kavallaris and T. Suzuki
    • Journal Title

      IMA J. Appl. Math

      Volume: 0

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global-in-time behavior of the solution to a Gierer-Meihardt system2013

    • Author(s)
      G. Karali, T. Suzuki, and Y. Yamada
    • Journal Title

      Discrete and Continous Dynamical Systems

      Volume: A

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A blowup criterion for compressible isentropic Euler equation2013

    • Author(s)
      T. Suzuki
    • Journal Title

      J. Fluid Mech

      Volume: 0

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Duality and best constant for a Trudinger-Moser inequality involving probability measures2013

    • Author(s)
      T. Ricciardi and T. Suzuki
    • Journal Title

      Euro J. Appl. Anal

      Volume: 0

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Exclusion of boundary blowup for $2D$ chemotaxis system provided with Dirichlet boundary condition for the Poisson part2013

    • Author(s)
      T. Suzuki
    • Journal Title

      J. Math. Pure Appl

      Volume: 0

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic non-degeneracy of multiple blowup solutions to the Liouville-Gel'fand problem with an inhomogeneous coefficient2013

    • Author(s)
      Hiroshi Ohtsuka, Tomohiko Sato, Takashi Suzuki
    • Journal Title

      Journal of Mathematical Analysis and

      Volume: 398, Issue 2 Issue: 2 Pages: 692-706

    • DOI

      10.1016/j.jmaa.2012.09.028

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Remarks on spreading and vanishing for free boundary problems of some reaction-diffusion equations2013

    • Author(s)
      Yuki Kaneko, Kazuhiro Oeda And Yoshio Yamada
    • Journal Title

      Funkcialaj Ekvacioj

      Volume: 0

    • NAID

      130004927737

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the initial value problem of the semilinear beam equation with weak damping I: smoothing effect2013

    • Author(s)
      Hiroshi Takeda, Shuji Yoshikawa
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 401 Issue: 1 Pages: 244-258

    • DOI

      10.1016/j.jmaa.2012.12.015

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bounded and unbounded oscillating solutions to a parabolic-elliptic system in two dimensional space2013

    • Author(s)
      Yuki Naito and Takasi Senba
    • Journal Title

      Commun. Pure Appl. Anal.

      Volume: 12

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of eigenvalues of the Laplacian with the mixed boundary condition and its application2013

    • Author(s)
      Shuichi Jimbo and Kazuhiro Kurata
    • Journal Title

      数理解析研究所講究録

      Volume: 0

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species2012

    • Author(s)
      E.E. Espejo, A. Stevens, and T. Suzuki
    • Journal Title

      Differential and Integral Equations

      Volume: 25 Pages: 251-288

    • Related Report
      2012 Annual Research Report 2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stability of the steady state for multi-dimensional thermoelastic systems of shape memory alloys2012

    • Author(s)
      T. Suzuki and S. Yoshikawa
    • Journal Title

      Discrete and Continuous Dynamical Systems S 5-1

      Volume: Special Issue Pages: 209-217

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-local reaction-diffusion system involved by reaction radius I2012

    • Author(s)
      N. Kavallaris and T. Suzuki
    • Journal Title

      IMA J. Appl. Math.

      Volume: 0 Pages: 1-19

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stationary solutions to a strain-gradient type thermoviscoelastic system2012

    • Author(s)
      I . Paw\l ow, T. Suzuki, and S. Tasaki
    • Journal Title

      Differential and Integral Equations

      Volume: 25 Pages: 289-340

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Degenerate parabolic equation with critical exponent derived from the kinetic theory, III., $\varepsilon$-regularity2012

    • Author(s)
      T. Suzuki and R. Takahashi
    • Journal Title

      Differential and Integral Equations

      Volume: 25 Pages: 223-250

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Transient and asymptotic dynamics of a prey-predator system with diffusion2012

    • Author(s)
      E. Latos, T. Suzuki, and Y. Yamada
    • Journal Title

      Math. Meth. Appl. Sci

      Volume: 35 Pages: 1101-1109

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of solutions to the Cauchy problem for the scalar viscous conservation law with partially linearly degenerate flux2012

    • Author(s)
      A. Matsumura and N. Yoshida
    • Journal Title

      SIAM Journal on Mathematical Analysis

      Volume: 44 Issue: 4 Pages: 2526-2544

    • DOI

      10.1137/110839448

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 交差拡散を伴う非線形拡散方程式系 --数理生態学に現れる反応拡散方程式系--2012

    • Author(s)
      山田 義雄
    • Journal Title

      数学

      Volume: 64 Pages: 384-406

    • NAID

      10031177301

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On limit systems for some population models with cross-diffusion2012

    • Author(s)
      Kousuke Kuto and Yoshio Yamada
    • Journal Title

      Discrete and Continuous Dynamical Systems B

      Volume: 17 Issue: 8 Pages: 2745-2769

    • DOI

      10.3934/dcdsb.2012.17.2745

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the initial value problem of the semilinear beam equation with weak damping II: asymptotic profiles2012

    • Author(s)
      Hiroshi Takeda, Shuji Yoshikawa
    • Journal Title

      Journal of Differential Equations

      Volume: 253 Issue: 11 Pages: 3061-3080

    • DOI

      10.1016/j.jde.2012.07.014

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The role of forward self-similar solutions in the Cauchy problem for semilinear heat equations2012

    • Author(s)
      Yuki Naito
    • Journal Title

      J. Differential Equations

      Volume: 253 Issue: 11 Pages: 3029-3060

    • DOI

      10.1016/j.jde.2012.08.013

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Remarks on singular Sturm comparison theorems2012

    • Author(s)
      Yuki Naito
    • Journal Title

      Mem. Differential Equations Math. Phys.

      Volume: 57 Pages: 109-122

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Blow-up behavior of solutions to a parabolic-elliptic system on higher dimensional domains2012

    • Author(s)
      Yuki Naito and Takasi Senba
    • Journal Title

      Discrete Contin. Dyn. Syst.

      Volume: 32 Pages: 3691-3713

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Classification of second order linear differential equations and an application to singular elliptic eigenvalue problems2012

    • Author(s)
      Y.Naito
    • Journal Title

      Bull.London Math.Soc.

      Volume: (In press) Issue: 3 Pages: 1-18

    • DOI

      10.1112/blms/bdr117

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent2012

    • Author(s)
      Yuki Naito and Tokushi Sato
    • Journal Title

      Ann. Mat. Pura Appl. (4)

      Volume: 191 Issue: 1 Pages: 25-51

    • DOI

      10.1007/s10231-010-0173-y

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Rectifiable oscillations of radially symmetric solutions of p-Laplace differential equations2012

    • Author(s)
      Yuki Naito, Mervan Pasic, and Hiroyuki Usami
    • Journal Title

      Differ. Equ. Appl.

      Volume: 4 Issue: 1 Pages: 11-25

    • DOI

      10.7153/dea-04-03

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reaction diffusion equation with non-local term arises as a mean field limit of the master equation2012

    • Author(s)
      K.Ichikawa, M.Rouzimaimaiti, T.Suzuki
    • Journal Title

      Discrete and Continuous Dynamical Systems S 5-1

      Volume: Special Issue Pages: 115-126

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-local reaction-diffusion system involved by reaction radius I2012

    • Author(s)
      N.Kavallaris, T.Suzuki
    • Journal Title

      IMA J.Appl.Math.

      Volume: (掲載確定)(To appear)(未定) Issue: 3 Pages: 1-19

    • DOI

      10.1093/imamat/hxr068

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Degenerate parabolic equation with critical exponent derived from the kinetic theory, III., ¥varepsilon-regularity2012

    • Author(s)
      T.Suzuki, R.Takahashi
    • Journal Title

      Differential and Integral Equations

      Volume: 25 Pages: 223-250

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mathematical modeling of invadopodia formation2012

    • Author(s)
      T.Saitou, M.Rouzimaimaiti, N.Koshikawa, M.Seiki, K.Ichikawa, T.Suzuki
    • Journal Title

      J.Theoretical Biology

      Volume: 298 Pages: 138-146

    • DOI

      10.1016/j.jtbi.2011.12.018

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic profiles for the limit unstable Cahn-Hilliard equation with inertial term2012

    • Author(s)
      H.Takeda, S.Yoshikawa
    • Journal Title

      Differential and Integral Equations

      Volume: 25 Pages: 341-362

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Rectifiable oscillations of radially symmetric solutions of p-Laplace differential equations2012

    • Author(s)
      Y.Naito, M.Pasic, H.Usami
    • Journal Title

      Differential Equations and Application

      Volume: 4 Pages: 11-25

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth2012

    • Author(s)
      K.Akahori, S.Ibrahim, H.Kikuchi, H.Nawa
    • Journal Title

      Differential and Integral Equations

      Volume: 25 Pages: 383-402

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global solutions for a semilinear heat equation in the exterior domain of a compact set2012

    • Author(s)
      K.Ishige, M.Ishiwata
    • Journal Title

      Discrete and Continuous Dynamical Systems

      Volume: 32(印刷中)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On limit systems for some population models with cross-diftiision2012

    • Author(s)
      K.Kuto, Y.Yamada
    • Journal Title

      Discrete and Continuous Dynamical Systmes, Ser.B

      Volume: (印刷中)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis2012

    • Author(s)
      N.Saito
    • Journal Title

      Communications on Pure and Applied Analysis

      Volume: 11(1) Issue: 1 Pages: 339-364

    • DOI

      10.3934/cpaa.2012.11.339

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic non-degeneracy of the multiple blow-up solutions to the Gel'fand problem in two space dimensions2011

    • Author(s)
      M. Grossi, H. Ohtsuka, and T. Suzuki
    • Journal Title

      Adv. Differential Equations

      Volume: 16 Pages: 145-164

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic non-degeneracy of the multiple blow-up solutions to the Gel'fand problem in two space dimensions2011

    • Author(s)
      M.Grossi, H.Ohtsuka, T.Suzuki
    • Journal Title

      Adv.Differential Equations

      Volume: 16 Pages: 145-164

    • Related Report
      2011 Annual Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A combined scheme for computing numerical solutions of a free boundary problem2011

    • Author(s)
      N.L.Othman, T.Suzuki, T.Tsuchiya
    • Journal Title

      Inter.J.Math.Comp.Simul.

      Volume: 15 Pages: 53-60

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Vanishing p-capacity of singular sets for p-harmonic functions2011

    • Author(s)
      T.Sato, T.Suzuki, F.Takahashi
    • Journal Title

      Electron J.Differential Equations 2011

      Volume: 67 Pages: 1-15

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 腫瘍形成に関わる細胞分子と数理~トップダウンモデリングとキーパスサーチ2011

    • Author(s)
      鈴木貴
    • Journal Title

      応用数理

      Volume: 21 Pages: 50-54

    • NAID

      110008593886

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Navier-Stokes equations for three-dimensional compressible barotropic flow subject to large external potential forces with discontinuous initial data2011

    • Author(s)
      J.Li, A.Matsumura
    • Journal Title

      J.Math.Pures Appl.

      Volume: 95 Pages: 495-512

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Conservative finite difference schemes for the modified Camassa-Holm Equation2011

    • Author(s)
      D.Furihata, Y.Miyatake, T.Matsuo
    • Journal Title

      Jsiam Letters

      Volume: 3 Pages: 37-40

    • NAID

      130000853485

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Invariants-preserving integration of the modified Camassa-Holm Equation2011

    • Author(s)
      D.Furihata, Y.Miyatake, T.Matsuo
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 28 Pages: 351-381

    • NAID

      10030213784

    • Related Report
      2011 Annual Research Report
  • [Journal Article] A Payne-Rayner type inequality for the Robin problem on arbitrary minimal surfaces in R^N2011

    • Author(s)
      F.Takahashi, A.Uegaki
    • Journal Title

      Results in Mathematics

      Volume: 10 Issue: 01 Pages: 1-7

    • DOI

      10.1007/s00025-010-0064-y

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016732

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An eigenvalue problem related to blowing-up solutions for a semilinear elliptic equation with the critical Sobolev exponent2011

    • Author(s)
      F.Takahashi
    • Journal Title

      Discrete and Continuous Dynamical Systems, Series S

      Volume: 09 Issue: 12 Pages: 1-23

    • DOI

      10.3934/dcdss.2011.4.907

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016724

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional p-Laplacian2011

    • Author(s)
      Y.Naito
    • Journal Title

      Mathematica Bohemica

      Volume: 136 Pages: 175-184

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence and nonexistence of maximizers for variational problems associated with Trudinger-Moser type inequalities in $¥R^N$2011

    • Author(s)
      M.Ishiwata
    • Journal Title

      Math.Ann.

      Volume: 351 Issue: 4 Pages: 781-804

    • DOI

      10.1007/s00208-010-0618-z

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A free boundary problem for a reaction-diffusion equation arising in ecology2011

    • Author(s)
      Y.Kaneko, Y.Yamada
    • Journal Title

      Advances in Mathematical Sciences and Applications

      Volume: 21(印刷中)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence of multiple spike stationary patterns in achemotaxis model with weak saturation2011

    • Author(s)
      Kazuhiro Kurata, Kotaro Morimoto
    • Journal Title

      Discrete and Continuous Dynamical System

      Volume: 31 Issue: 1 Pages: 139-164

    • DOI

      10.3934/dcds.2011.31.139

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic non-degeneracy of the multiple blow-up solutions to the Gel'fand problem in two space dimensions2011

    • Author(s)
      M.Grossi, H.Ohtsuka, T.Suzuki
    • Journal Title

      Adv. Differential Equations 16

      Pages: 145-164

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Mathematical models of tumor growth systems2011

    • Author(s)
      T.Suzuki
    • Journal Title

      J.Mathematica Bohemica

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A combined scheme for computing numerical solutions of a free boundary problem2011

    • Author(s)
      T.Suzuki
    • Journal Title

      Inter.J.Math.Comp.Simu.

      Volume: 1 Pages: 53-60

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reaction diffusion equation with non-local term arises as a mean field limit of the master equation2011

    • Author(s)
      T.Suzuki, K.Ichikawa, M.Rouzimaimaiti
    • Journal Title

      Discrete and Continuous Dynamical Systems S

      Volume: 5(印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stability of the steady state for multi-dimensional thermoelastic systems of shapememory alloys2011

    • Author(s)
      T.Suzuki, S.Yoshikawa
    • Journal Title

      Discrete and Continuous Dynamical Systems S

      Volume: 5 Pages: 209-217

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional p-Laplacian2011

    • Author(s)
      Yuki Naito
    • Journal Title

      Mathematica Bohemica

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent2011

    • Author(s)
      Yuki Naito, Tokushi Sato
    • Journal Title

      Ann.Mat.Pura.Appl.

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Extinction, decay and blow-up for Keller-Segel system of fast diffusion type2011

    • Author(s)
      杉山由恵, 矢作由美
    • Journal Title

      J.Differential Equations

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Uniqueness and continuity of solution for the initial data in the scaling invariant class of degenerate Keller-Segel system2011

    • Author(s)
      杉山由恵、矢作由美
    • Journal Title

      J.Evolution Equations

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Extinction snd asymptotic behavior of solutions for the Keller-Bagel system of fast diffusion type2011

    • Author(s)
      杉山由恵, 矢作由美
    • Journal Title

      Advances in Mathematical Sciences and Applications

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite speed of propagation in 1-D degenerate Keller-Segel system2011

    • Author(s)
      杉山由恵
    • Journal Title

      Math.Nachr

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Self similar blow up with different values of the masses for the Keller Segel system with nonlinear diffusion in the critical case2011

    • Author(s)
      杉山由恵, J.J.L.Velazquez
    • Journal Title

      Advances in Differential Equations

      Volume: 16 Pages: 85-112

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence and nonexistence of maximizers for variational problems associated with Trudinger-Moser type inequalities in R^N2011

    • Author(s)
      M.Ishiwata
    • Journal Title

      Mathematiche Annalen

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence of multiple spike stationary patterns in a chemotaxis model with weak saturation2011

    • Author(s)
      Kazuhiro Kurata, K.Morimoto
    • Journal Title

      Discrete and Conti.Dynam.System, series A

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Semilinear parabolic equation in ${¥bf R}^N$ associated with critical Sobolev exponent,Ann.Inst. H. Poincar¥'e2010

    • Author(s)
      R. Ikehata, M. Ishiwata, and T. Suzuki
    • Journal Title

      Analyse nonlin¥'eaire

      Volume: 27 Pages: 877-900

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] An analytic approach to the normalized Ricci flow-like equation2010

    • Author(s)
      N.Kavallaris, T.Suzuki
    • Journal Title

      Nonlinear Analysis 72

      Pages: 2300-2317

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Nonexistence of multi-bubble solutions to some elliptic equations on convex domains2010

    • Author(s)
      M.Grossi, F.Takahashi
    • Journal Title

      J.Func.Anal. 259

      Pages: 904-917

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] An analytic approach to the normalized Ricci flow-like equation2010

    • Author(s)
      T.Suzuki, N.Kavallaris
    • Journal Title

      Nonlinear Analysis

      Volume: 72 Pages: 2300-2317

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Blow-up analysis for an elliptic equation describing stationary vortex flows with variable intensities in 2D-turbulence2010

    • Author(s)
      T.Suzuki, T.Ricciardi, H.Ohtsuka
    • Journal Title

      J.Differential Equations

      Volume: 249 Pages: 1436-1465

    • NAID

      130004604346

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stationary solutions to a thermoelastic system on shape memory materials2010

    • Author(s)
      T.Suzuki, S.Tasaki
    • Journal Title

      Nonlinearity

      Volume: 23 Pages: 2023-2656

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stochastic simulation of biological reactions, and its applications for studying actin polymerization2010

    • Author(s)
      T.Suzuki, K.Ichikawa, N.Murata
    • Journal Title

      Physical Biology

      Volume: 7 Pages: 46010-46010

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Thermomechanical system of equations on shape memory materials2010

    • Author(s)
      T.Suzuki
    • Journal Title

      Current Advances in Nonlinear Analysis and Related Topics, (eds.T.Aiki, N.Kenmochi, M.Niezgodka, M.Otani), Gakuto International Series on Mathematical Science and Applications

      Volume: 32 Pages: 189-213

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Application of Hadamard's variation to numerical solution of a free boundary problem2010

    • Author(s)
      T.Suzuki, N.L.Othman, T.Tsuchiya
    • Journal Title

      In ; Adv.Math.Comp.Meth.(ed.L.Rogozea), WSEAS Press

      Pages: 114-121

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 電流双極子を自動決定する複数電流双極子推定手法2010

    • Author(s)
      鈴木貴, 佐藤真, 足立善昭
    • Journal Title

      日本生体磁気学会誌

      Volume: 23 Pages: 36-37

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nondegeneracy of least energy solutions for an elliptic problem with nearly critical nonlinearity2010

    • Author(s)
      Futoshi Takahashi
    • Journal Title

      Proceedings of the Royal Society of Edinbwgh : A

      Volume: 140 Pages: 203-222

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spectral estimates of least energy solutions to the Brezis-Nirenberg problem with a varible coefficient2010

    • Author(s)
      Futoshi Takahashi
    • Journal Title

      Journal of Differential Equations

      Volume: 248 Pages: 2497-2527

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An eigenvalue problem related to the critical Sobolev exponent : variable coefficient case2010

    • Author(s)
      Futoshi Takahashi
    • Journal Title

      Differential and Integral Equations

      Volume: 23 Pages: 827-860

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonexistence of multi-bubble solutions to some elliptic equations on convexdomains2010

    • Author(s)
      M.Grossi, F.Takahashi
    • Journal Title

      Journal of Functional Analysis

      Volume: 259 Pages: 904-917

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Decay Property for the linear wave equations intwo dimensional exterior domains2010

    • Author(s)
      S, Okamura, T, Kobayashi, M.Misawa
    • Journal Title

      Differential and Integral Equations

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Self-focusing of LASER beam and nonlinear Schrodinger equations2010

    • Author(s)
      名和範人
    • Journal Title

      数理解析研究所講究録「現象解析と関数方程式の新望」

      Volume: 1702 Pages: 31-50

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Uniqueness and regularity of weak solutions for the 1-$D$ degenerate Kelley-Segel systems2010

    • Author(s)
      杉山由恵
    • Journal Title

      Nonlinear Analysis Series A : TMA

      Volume: 73 Pages: 2230-2244

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Aronson-B¥'{e}nilan type estimate and the optimal H¥"{o}]der continuity of weak solutions for the 1-$D$ degenerate Keller-Segel systems2010

    • Author(s)
      杉山由恵
    • Journal Title

      Revista Mathematica Iberoamericana

      Volume: 26 Pages: 891-913

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic profile of blow-up solutions of Keller-Segel systems in super-critical cases2010

    • Author(s)
      杉山由恵
    • Journal Title

      Differential Integral Equations

      Volume: 23 Pages: 601-618

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-existence of backward self-similar solutions of the Keller-Segel system in the scaling invariant class2010

    • Author(s)
      小薗英雄, 杉山由恵, 高田了
    • Journal Title

      J.Math.Appl.Anal.

      Volume: 365 Pages: 60-66

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Blow-up criterion via scaling invariant quantities with effect on coefficient growth in Keller-Segel system2010

    • Author(s)
      杉山由恵
    • Journal Title

      Differential Integal Equations

      Volume: 23 Pages: 619-634

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Strong solutions to the Keller-Segel system with the weak $L{¥frac{n}{2}}$ initial data and its application to the blow-up rate2010

    • Author(s)
      小薗英雄, 杉山由恵
    • Journal Title

      Math.Nachr

      Volume: 5 Pages: 732-751

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Semilinear parabolic equation in R^N associated with critical Sobolev exponent2010

    • Author(s)
      R.Ikehata, M Ishiwata, T, Suzuki
    • Journal Title

      Annales de l'Institut Henri Poincare-Analyse nonlineaire

      Volume: 27 Pages: 877-900

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the asymptotic behavior of unbounded radial solutions for semilinear parabolic problems involving critical Sobolev exponent2010

    • Author(s)
      M.Ishiwata
    • Journal Title

      Journal of differential equations

      Volume: 249(6) Pages: 1466-1482

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multiple stable patterns in a balanced bistable equation with heterogeneous environments2010

    • Author(s)
      Kazuhiro Kurata, H.Matsuzawa
    • Journal Title

      Applicable Analysis

      Volume: 89 Pages: 1023-1035

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An analytic approach to the normalized Ricci flow-like equation2010

    • Author(s)
      T.Suzuki, et al.
    • Journal Title

      Nonlinear Analysis 72

      Pages: 2300-2317

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Thermo-mechanical system of equations on shapememory materials2010

    • Author(s)
      T.Suzuki, et al.
    • Journal Title

      Gakuto International Series on Mathematical Science and Applications 32

      Pages: 189-213

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Degenerate parabolic equation with critical exponent derived from the kinetic theory, III., $\varepsilon$-regularity2010

    • Author(s)
      T.Suzuki, et al.
    • Journal Title

      Differential and Integral Equations (印刷中)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Degenerate parabolic equation with critical exponent derived from the kinetic theory, IV., structure of the blowup set2010

    • Author(s)
      T.Suzuki, et al.
    • Journal Title

      Differential and Integral Equations (印刷中)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stationary solutions to the Falk system on shapememory alloys2010

    • Author(s)
      T.Suzuki, et al.
    • Journal Title

      Math.Meth.Appl.Sci. (印刷中)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a perturbed system of chemotaxis, II2010

    • Author(s)
      T.Suzuki, et al.
    • Journal Title

      International J.Mathematical Analysis (印刷中)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Semilinear parabolic equation in ${\bf R}^N$ associated with critical Sobolev exponent2010

    • Author(s)
      T.Suzuki, et al.
    • Journal Title

      Ann.Inst.H.Poincar\'e, Analyse Nonlin\'eaire (印刷中)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional p-Laplacian2010

    • Author(s)
      Y.Naito
    • Journal Title

      Mathematica Bohemia (印刷中)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multiple stable patterns in a balanced bistable equation with heterogeneous environments2010

    • Author(s)
      K.Kurata, et al.
    • Journal Title

      Applicable Math. (印刷中)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a perturbed system of chemotaxis, II2010

    • Author(s)
      M.Kurokiba, R.Takahashi, T.Suzuki
    • Journal Title

      International Journal of Pure and Applied Mathe matics. (印刷中)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article]2010

    • Author(s)
      鈴木貴
    • Journal Title

      自己組織化ハンドブック(NTS)

      Pages: 320-324

    • Related Report
      2009 Annual Research Report
  • [Journal Article]2010

    • Author(s)
      鈴木貴
    • Journal Title

      応用解析ハンドブック(スプリンガージャパン)

      Pages: 419-460

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Stationary Fix-Caginalp equation with non-local term2009

    • Author(s)
      T. Suzuki and S. Tasaki
    • Journal Title

      Nonlinear Analysis

      Volume: 71 Pages: 1329-1349

    • Related Report
      2012 Final Research Report
  • [Journal Article] Degenerate parabolic equation with critical exponent derived from the kinetic theory, I., generation of the weak solution2009

    • Author(s)
      T.Suzuki, et al.
    • Journal Title

      Adv.Differential Equations 14

      Pages: 433-476

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Degenerate parabolic equation with critical exponent derived from the kinetic theory, II., blowup threshold2009

    • Author(s)
      T.Suzuki, et al.
    • Journal Title

      Adv.Differential Equations 22

      Pages: 1153-1172

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stationary Fix-Caginalp equation with non-local term2009

    • Author(s)
      T.Suzuki, et al.
    • Journal Title

      Nonlinear Analysis 71

      Pages: 1329-1349

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global in time solution to a class of tumor growth systems2009

    • Author(s)
      T.Suzuki, et al.
    • Journal Title

      Adv.Math.Sci.Appl. 19

      Pages: 503-524

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Degenerate parabolic equation derived from the kinetictheory2009

    • Author(s)
      T.Suzuki, et al.
    • Journal Title

      Theoretical and Applied Mechanics Japan 57

      Pages: 185-190

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multiple existence of solutions for a nonlinearly perturbed elliptic parabolic system in ${\bf R}^2$2009

    • Author(s)
      F.Takahashi, et al.
    • Journal Title

      Electric J.Differential Equation 32

      Pages: 1-10

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic uniqueness for biharmonic equation with nearly critical growth on symmetric convex domains2009

    • Author(s)
      F.Takahashi, et al.
    • Journal Title

      Funkcialaj Ekvac. 52

      Pages: 213-232

    • NAID

      130000140520

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Morse indices and the number of maximum points of solutions to a two-dimensional elliptic problems2009

    • Author(s)
      F.Takahashi
    • Journal Title

      Archiv der Mathematik 93

      Pages: 191-197

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global existence of solutions for a nonlinearly perturbed Keller-Segel system in ${\bf R}^2$2009

    • Author(s)
      F.Takahashi, et al.
    • Journal Title

      Zeit.Angew.Math.Phys. 60

      Pages: 840-867

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A nondegeneracy result for least energy solutions to a biharmonic problem with nearly critical exponent2009

    • Author(s)
      F.Takahashi, et al.
    • Journal Title

      Kokyuroku RIMS Bessatsu 15

      Pages: 73-85

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hardy type inequality and application to the stability of degenerate stationary waves2009

    • Author(s)
      K.Kurata, et al.
    • Journal Title

      J.Funct.Anal. 257

      Pages: 1-19

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On $\epsilon$-regularity theorem and asymptotic behaviors of solutions for Keller-Segel systems2009

    • Author(s)
      Sugiyama, Yoshie
    • Journal Title

      SIAM J.Math.Anal. 41

      Pages: 1664-1692

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Partial regularity and its application to the blow-up asymptotics of parabolic systems modelling chemotaxis with porous medium diffusion2009

    • Author(s)
      Sugiyama, Yoshie
    • Journal Title

      Adv.Stud.Pure Math. 55

      Pages: 137-160

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global strong solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces2009

    • Author(s)
      Kozono, Hideo ; Sugiyama, Yoshie
    • Journal Title

      J.Differential Equations 247

      Pages: 1-32

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Interfaces for 1-D degenerate Keller-Segel systems2009

    • Author(s)
      Sugiyama, Yoshie
    • Journal Title

      J.Evol.Equ. 9

      Pages: 123-142

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stabiity of a composite wave of two viscous shock waves for the full compressible Navier-Stokes equation2009

    • Author(s)
      F.Huang, A.Matsumura
    • Journal Title

      Commun.Math.Phys.289 3

      Pages: 841-861

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article]2009

    • Author(s)
      倉田和浩
    • Journal Title

      現代数理科学事典(第2版)(丸善)

      Pages: 1289-1298

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Degenerate parabolic equation with critical exponent derived from the kinetic theory, I., generation of theweak solut ion2009

    • Author(s)
      T. Suzuki, et al.
    • Journal Title

      Adv. Differential Equations 14

      Pages: 433-476

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonlinear and linear conservative finite differenceschemes for regularized long wave equation2009

    • Author(s)
      S. Koide, et al.
    • Journal Title

      Japan J. Indust. Appl. Math. 26

      Pages: 15-40

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A quasi1inear thermoviscoelastic sys erm for shapememory alloys with temperature dependent specifie heat2009

    • Author(s)
      S. Yoshikawa, et al.
    • Journal Title

      Commun. Pure Appl. Anal. 8

      Pages: 1093-1115

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Weak solutions to the Navier-Stokes-Poisson equation2008

    • Author(s)
      T. Kobayashi and T. Suzuki
    • Journal Title

      Adv. Math. Sci. Appl.

      Volume: 18 Pages: 141-168

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Se1f-Simi1arity in chemotaxis systems2008

    • Author(s)
      T. Suzuki, et al.
    • Journal Title

      Colloquium Mathematics Ill

      Pages: 11-34

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Variational and seal ing properties of self-interactingfluids and their mass quantizations2008

    • Author(s)
      T. Suzuki
    • Journal Title

      Theoretical and Applied Mechanics Japan 58

      Pages: 207-213

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Derivation of the equi1ibrium mean field equations ofpoint vortex sys tern and Vortex filament systern2008

    • Author(s)
      T. Suzuki, et al.
    • Journal Title

      Theoretical and Applied Mechanics Japan 56

      Pages: 285-290

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of the solution to the non-isothermal phase separation2008

    • Author(s)
      T. Suzuki, et al.
    • Journal Title

      Nonlinear Analysis 68

      Pages: 1825-1843

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Local proper ty of the mountain-pass critical point andthe mean field equat ion2008

    • Author(s)
      T. Suzuki, et al.
    • Journal Title

      Differential and Integral Equations 21

      Pages: 421-432

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Touchdown and related problems in electrostatic MEMS device eauation2008

    • Author(s)
      T. Suzuki, et al.
    • Journal Title

      Nonlinear Differential Equations and Applications 15

      Pages: 363-385

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Weak solutions to the Navier-Stokes-Poisson equation2008

    • Author(s)
      T. Suzuki, et al.
    • Journal Title

      Adv. Math. Sci. Appl. 18

      Pages: 141-168

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Semi linear parabol ic equat ion on bounded domain with critical Sobolev exponent2008

    • Author(s)
      T. Suzuki
    • Journal Title

      Indiana Univ. Math. J. 57

      Pages: 3365-3396

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Capaci ty estimate for the blow-up set of parabolic Equations2008

    • Author(s)
      T. Suzuki, et al.
    • Journal Title

      Math. Z 259

      Pages: 867-878

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 移動目標物の追尾制御に関する考察2008

    • Author(s)
      鈴木貴, 他
    • Journal Title

      日本ロボット学会誌 26-8

      Pages: 944-950

    • NAID

      10024452112

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Regularity condition by mean oscination to a weaksolution of the 2-dimensional Harmonic heat flow intosphere2008

    • Author(s)
      M. Misawa, et al.
    • Journal Title

      Calc. Var. 33

      Pages: 391-415

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic uniqueness of solutions for an elliptic problem with nearly critical growth on symmetric domains2008

    • Author(s)
      F. Takahashi, et al.
    • Journal Title

      Comm. Appl. Nonl. Anal. 15

      Pages: 1-18

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic nondegeneracy of least energy solutions to an elliptic problem with the critical Sobolev exponent2008

    • Author(s)
      F. Takahashi
    • Journal Title

      Advanced Nonlinear Studies 8

      Pages: 783-797

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of the least energy solutions for abiharmonic problem with nearly critical growth2008

    • Author(s)
      F. Takahashi
    • Journal Title

      Asymptotic Analysis 60

      Pages: 213-226

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An asymptotic nondegeneracy result for a biharmonicequation with nearly critical growth2008

    • Author(s)
      F. Takahashi
    • Journal Title

      Nonlinear Differential Equations and Applications 15

      Pages: 623-637

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sharp conditions for the existence of sign-changingsolutions to equations involving the one-dimensionalp-Laplacian2008

    • Author(s)
      Y. Naito, et al.
    • Journal Title

      Nonlinear Analys is 69

      Pages: 3070-3080

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Self-simi1ar solutions for a semi1inear heat equationwith critical Sobolev exponent2008

    • Author(s)
      Y. Naito
    • Journal Title

      Indiana Univ. Math. J. 57

      Pages: 1283-1315

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Local existence and finite time blow-up in the 2-D Keller-Segel system2008

    • Author(s)
      Y. Sugiyaia, et al.
    • Journal Title

      Journal of Evolution Equation 8

      Pages: 353-378

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Keller-Segel system of parabolic-parabolic type with initialdata in weak $L^(n/2) (R^n)$2008

    • Author(s)
      Y. Sugiyama, et al.
    • Journal Title

      Indiana Univ. Math. J. 57

      Pages: 1467-1500

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of strong solutions for nonlinearparabolic equations with critical Sobolev exponent2008

    • Author(s)
      M. Ishiwata
    • Journal Title

      Adv. Differential Equations 13

      Pages: 349-366

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stationary Fix-Caginalp equation with non-local term

    • Author(s)
      T. Suzuki, et al.
    • Journal Title

      Nonlinear Analysis (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Degenerate parabolic equation derived from the kinetictheory

    • Author(s)
      T. Suzuki, et al.
    • Journal Title

      Theoretical and, Applied Mechanics Japan. (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] Lotka-Vorterra系の時間大域挙動2013

    • Author(s)
      T. Suzuki
    • Organizer
      共同研究「非線型現象の数理モデルに現れる近平衡解の時間的漸近挙動に関する研究」
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Annual Research Report
  • [Presentation] Design to construct weakly nonlinear schemes in structure preserving context2013

    • Author(s)
      D.Furihata
    • Organizer
      2013 Tokyo Workshop on Structure-Preserving Methods
    • Place of Presentation
      Tokyo, Japan
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 非線形熱方程式の解の漸近挙動と自己相似解2013

    • Author(s)
      内藤雄基
    • Organizer
      神戸解析セミナー
    • Place of Presentation
      神戸大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Global behavior of solutions to semilinear heat equations2013

    • Author(s)
      内藤雄基
    • Organizer
      International Conference "Quantization blow-up and concentration in mathematical physics view point"
    • Place of Presentation
      大阪大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Smoluchowski-Poisson equation in statistical physics and cell biology -mathematics for blowup with quantization2012

    • Author(s)
      T.Suzuki
    • Organizer
      5th Polish-Japanese Days on Nonlinear Analysis in Interdisciplinary Sciences, Modelling, Theory and Simulations
    • Place of Presentation
      Kansai Seminar House, Kyoto, Japan
    • Year and Date
      2012-11-06
    • Related Report
      2012 Final Research Report
  • [Presentation] Gierer-Meinhardt系の時間大域解2012

    • Author(s)
      鈴木貴, 山田義雄
    • Organizer
      日本数学会2012年度年会函数方程式論分科会
    • Place of Presentation
      東京理科大学神楽坂キャンパス(東京都)
    • Year and Date
      2012-03-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Asymptotic non-degeneracy of multiple blowup solutions to the Liouville-Gel'fand problem with a non-constant coefficient2012

    • Author(s)
      佐藤友彦, 大塚浩史, 鈴木貴
    • Organizer
      日本数学会2012年度年会函数方程式論分科会
    • Place of Presentation
      東京理科大学神楽坂キャンパス(東京都)
    • Year and Date
      2012-03-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] 関数係数を持つLiouville-Gel'fand問題に対する多点爆発解の漸近的非退化性2012

    • Author(s)
      佐藤友彦, 大塚浩史, 鈴木貴
    • Organizer
      第61回理論応用力学講演会
    • Place of Presentation
      東京大学生産技術研究所(東京都)
    • Year and Date
      2012-03-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] 生体磁場源の探索-数理的方法2012

    • Author(s)
      鈴木貴
    • Organizer
      数値計算・数値解析と逆問題・これまでとこれから
    • Place of Presentation
      岡山理科大学(岡山県)(招待講演)
    • Year and Date
      2012-03-05
    • Related Report
      2011 Annual Research Report
  • [Presentation] A PDE approach to biological phenomena, Mathematics for Innovation : Large and Complex Systems2012

    • Author(s)
      鈴木貴
    • Organizer
      ESF-JSPS Frontier Science Conference Series of Young Researches
    • Place of Presentation
      The Four Seasons Hotel Tokyo at Chinzan-so(東京都)(招待講演)
    • Year and Date
      2012-03-03
    • Related Report
      2011 Annual Research Report
  • [Presentation] Mathematical analysis for shape memory alloys2012

    • Author(s)
      S.Yoshikawa
    • Organizer
      Mathematical approach to emerging topics in materials sciences
    • Place of Presentation
      東北大学(宮城県)(招待講演)
    • Year and Date
      2012-02-18
    • Related Report
      2011 Annual Research Report
  • [Presentation] 交差拡散を伴う数理生態学モデルについて2012

    • Author(s)
      山田義雄
    • Organizer
      RIMS共同研究「非線形拡散の数理」
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2012-02-13
    • Related Report
      2011 Annual Research Report
  • [Presentation] Separation structure of positive radial solutions for semilinear elliptic Equations2012

    • Author(s)
      Y.Naito
    • Organizer
      2012 International Workshop on Nonlinear PDE and Applications
    • Place of Presentation
      Pusan Nat.Univ.(韓国)(招待講演)
    • Year and Date
      2012-02-10
    • Related Report
      2011 Annual Research Report
  • [Presentation] Stability and instability of self-similar solutions for semilinear heat Equations2012

    • Author(s)
      Y.Naito
    • Organizer
      International Symposium on Nonlinear Analysis and Optimization 2012
    • Place of Presentation
      Pukyong Nat.Univ.(韓国)(招待講演)
    • Year and Date
      2012-02-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] Separation structure of positive radial solutions for semilinear elliptic Equations2012

    • Author(s)
      内藤雄基
    • Organizer
      東工大数理解析研究会
    • Place of Presentation
      東京工業大学(東京都)(招待講演)
    • Year and Date
      2012-02-06
    • Related Report
      2011 Annual Research Report
  • [Presentation] Practical aspects of some bio-magnetic inverse problems2012

    • Author(s)
      鈴木貴
    • Organizer
      偏微分方程式の逆問題解析とその周辺分野に関する研究
    • Place of Presentation
      京都大学数理解析研究所(京都府)(招待講演)
    • Year and Date
      2012-01-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] On the asymptotic nondegeneracy for the problems with exponential nonlinearities2012

    • Author(s)
      H.Ohtsuka
    • Organizer
      第29回九州における偏微分方程式研究集会
    • Place of Presentation
      九州大学西新プラザ大会議室(福岡県)
    • Year and Date
      2012-01-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] A Simple Guide to Discrete Variational Derivative Method and Another Attempt to Overcome Substantial Computation Cost of Nonlinear Problems2012

    • Author(s)
      D.Furihata
    • Organizer
      2012 Tokyo Workshop on Structure-Preserving Methods
    • Place of Presentation
      東京大学(東京都)
    • Year and Date
      2012-01-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] 非線形熱方程式における前向き自己相似解の役割2012

    • Author(s)
      内藤雄基
    • Organizer
      横浜数学セミナー
    • Place of Presentation
      横浜国立大学(神奈川県)(招待講演)
    • Year and Date
      2012-01-13
    • Related Report
      2011 Annual Research Report
  • [Presentation] Point vortex mean field theories-multi-intensities and kinetic theory2012

    • Author(s)
      鈴木貴
    • Organizer
      PDE seminar
    • Place of Presentation
      ローマII大学(イタリア)(招待講演)
    • Year and Date
      2012-01-12
    • Related Report
      2011 Annual Research Report
  • [Presentation] 2D Smoluchowski-Poisson equation - method of the weak scaling limit2012

    • Author(s)
      T. Suzuki
    • Organizer
      Seminar in Laboratories of Mathematics, Univ. Paul Sabatier
    • Place of Presentation
      Toulouse
    • Related Report
      2012 Annual Research Report
  • [Presentation] Trudinger-Moser inequality for a point vortex mean field limit with multi-intensities2012

    • Author(s)
      T. Suzuki
    • Organizer
      RIMS研究集会 変分問題の展開-確率論と交錯する変分問題
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Annual Research Report
  • [Presentation] Exclusion of boundary blowup for 2D chemotaxis system provided with Dirichlet boundary condition for the Poisson part2012

    • Author(s)
      T. Suzuki
    • Organizer
      5th Euro-Japan Conference on Blowup
    • Place of Presentation
      CIRM, Marseille
    • Related Report
      2012 Annual Research Report
  • [Presentation] Exclusion of boundary blowup for 2D chemotaxis system provided with Dirichlet boundary condition for the Poisson part2012

    • Author(s)
      T. Suzuki
    • Organizer
      PDE seminar
    • Place of Presentation
      Max Planck Institute (Mathematics), Leipzig
    • Related Report
      2012 Annual Research Report
  • [Presentation] Exclusion of boundary blowup for 2D chemotaxis system provided with Dirichlet boundary condition for the Poisson part2012

    • Author(s)
      T. Suzuki
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      九州大学伊都キャンパス
    • Related Report
      2012 Annual Research Report
  • [Presentation] Smoluchowski-Poisson equation in statistical physics and cell biology - mathematics for blowup with quantization2012

    • Author(s)
      T. Suzuki
    • Organizer
      5th Polish-Japanese Days on Nonlinear Analysis in Interdisciplinary Sciences, Modelling, Theory and Simulations
    • Place of Presentation
      Kansai Seminar House, Kyoto
    • Related Report
      2012 Annual Research Report
  • [Presentation] Some results by energy methods on large-time behavior of viscous gas2012

    • Author(s)
      Akitaka Matumura
    • Organizer
      2012 International Conference on Nonlinear Analysis: Evolutionary
    • Place of Presentation
      Institute of Mathematics,Academia Sinica, Taipei
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Spreading and vanishing for free boundary problems in ecology2012

    • Author(s)
      Yoshio Yamada
    • Organizer
      5th Polish-Japanese Days on Nonlinear Analysis in Interdisciplinary Sciences
    • Place of Presentation
      京都、関西セミナーハウス
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] On logistic equations with diffusion and nonlocal effects2012

    • Author(s)
      Yoshio Yamada
    • Organizer
      Workshop on Nonlocal Problems—in the framework of the EU programme FIRST
    • Place of Presentation
      チューリッヒ大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Spreading and vanishing dichotomy for some free boundary problems in ecology2012

    • Author(s)
      Yoshio Yamada
    • Organizer
      Swiss-Japanese Seminar
    • Place of Presentation
      チューリッヒ大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Weakly nonlinear structure preserving schemes for strongly nonlinear partial differential equations2012

    • Author(s)
      D. Furihata and T. Matsuo
    • Organizer
      International Congress on Computational and Applied Mathematics
    • Place of Presentation
      Gent, Belgium
    • Related Report
      2012 Annual Research Report
  • [Presentation] A note on the stabilization of multistep linearly-implicit schemes for dissipative systems2012

    • Author(s)
      T. Matsuo and D. Furihata
    • Organizer
      International Congress on Computational and Applied Mathematics
    • Place of Presentation
      Gent, Belgium
    • Related Report
      2012 Annual Research Report
  • [Presentation] A new technique to design numerical schemes with weak nonlinearity based on discrete variational derivative method2012

    • Author(s)
      D. Furihata
    • Organizer
      International conference of numerical analysis and applied mathematcs
    • Place of Presentation
      Kos, Greece
    • Related Report
      2012 Annual Research Report
  • [Presentation] 問題の非線形性を弱める離散変分スキームの構成2012

    • Author(s)
      降籏 大介
    • Organizer
      日本応用数理学会2012年度年会
    • Place of Presentation
      稚内, 日本
    • Related Report
      2012 Annual Research Report
  • [Presentation] Asymptotic profiles of solutions for the isothermal Falk-Konopka system of shape memory alloys with weak damping2012

    • Author(s)
      Shuji Yoshikawa
    • Organizer
      Linear and Nonlinear Waves, No.10
    • Place of Presentation
      Piazza Ohmi (大津市)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Higher order expansion of solutions for the isothermal Falk-Konopka system of shape memory alloys2012

    • Author(s)
      吉川周二
    • Organizer
      熊本大学応用解析セミナー
    • Place of Presentation
      熊本大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 形状記憶合金の等温Falk-Konopkaモデルの解の高次漸近形2012

    • Author(s)
      吉川周二
    • Organizer
      広島微分方程式研究会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Asymptotic profiles of solutions for the isothermal Falk-Konopka system with weak damping2012

    • Author(s)
      Shuji Yoshikawa
    • Organizer
      The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Orland, Florida, USA
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 形状記憶合金の等温Falk-Konopkaモデルの解の三次の漸近形2012

    • Author(s)
      吉川周二
    • Organizer
      京都駅前セミナー
    • Place of Presentation
      キャンパスプラザ京都
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Separation structure of positive radial solutions for semilinear elliptic equations2012

    • Author(s)
      内藤雄基
    • Organizer
      平成24年度第2回「南大阪応用数学セミナー」
    • Place of Presentation
      大阪府立大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Global attractivity properties of stationary solutions for semilinear heat equations2012

    • Author(s)
      内藤雄基
    • Organizer
      5th Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      フランス、マルセイユ
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Global attractivity of self-similar solutions for semilinear heat equations2012

    • Author(s)
      内藤雄基
    • Organizer
      研究集会「広島微分方程式研究会」
    • Place of Presentation
      広島大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 非線形熱方程式の解の漸近挙動と自己相似解2012

    • Author(s)
      内藤雄基
    • Organizer
      熊本大学数学談話会
    • Place of Presentation
      熊本大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Separation structure of positive radial solutions for semilinear elliptic equations2012

    • Author(s)
      内藤雄基
    • Organizer
      Swiss-Japanese Seminar
    • Place of Presentation
      スイス・チューリッヒ大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Asymptotic behavior of eigenvalues of the Laplacian with the mixed boundary condition and its application2012

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      RIMS研究集会「偏微分方程式の解の幾何」
    • Place of Presentation
      数理解析研究所
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Infinite dimensional dynamical systems and biological model, I, Top-down and bottom-up modelings and mathematical structure, II, Lotaka-Voterra systems, III, Gierer-Meinhardt systems2012

    • Author(s)
      鈴木貴
    • Organizer
      ナポリ大学数学教室特別講演
    • Place of Presentation
      ナポリ大学(イタリア)(招待講演)
    • Related Report
      2011 Annual Research Report
  • [Presentation] The role of self-similar solutions for semilinear heat equations2011

    • Author(s)
      Y.Naito
    • Organizer
      The 8-th East Asia PDE Conference
    • Place of Presentation
      POSTECH(韓国)(招待講演)
    • Year and Date
      2011-12-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] Nelson拡散過程と非線形Schrodinger方程式2011

    • Author(s)
      名和範人
    • Organizer
      RIMS共同研究「偏微分方程式の背後にある確率過程と解の族が示す統計力学的な現象の解析」
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2011-12-21
    • Related Report
      2011 Annual Research Report
  • [Presentation] Drift-diffusion model and 2D-Browinian point vorticies2011

    • Author(s)
      鈴木貴
    • Organizer
      The 8th East Asia PDE Conference
    • Place of Presentation
      Pohang(韓国)(招待講演)
    • Year and Date
      2011-12-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] On the existence and nonexistence of maximizers associated with Trudinger-Moser type inequalities in unbounded domains2011

    • Author(s)
      M.Ishiwata
    • Organizer
      Emerging Topics on Differential Equations and their Applications
    • Place of Presentation
      Chern Institute, Tianjin(中国)
    • Year and Date
      2011-12-06
    • Related Report
      2011 Annual Research Report
  • [Presentation] 非線形熱方程式における前進型自己相似解の役割2011

    • Author(s)
      内藤雄基
    • Organizer
      『応用解析』研究会
    • Place of Presentation
      早稲田大学(東京都)(招待講演)
    • Year and Date
      2011-11-26
    • Related Report
      2011 Annual Research Report
  • [Presentation] 不特定個数の信号ソースの位置を時系列で同定する技術,Method to identify indefinite number of signal source positions with a time series of signal2011

    • Author(s)
      鈴木貴
    • Organizer
      京阪神地区大学(大学開催)新技術説明会
    • Place of Presentation
      大阪国際会議場(大阪府)
    • Year and Date
      2011-11-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] An introduction to structure preserving methods through the discrete variational derivative method2011

    • Author(s)
      D.Furihata
    • Organizer
      Academy of mathematics and system science Seminar
    • Place of Presentation
      北京(中国)
    • Year and Date
      2011-11-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] Existence of multiple spike stationary patterns in achemotaxis model with weak saturation2011

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      SIAM Conference
    • Place of Presentation
      SanDiego(アメリカ)(招待講演)
    • Year and Date
      2011-11-17
    • Related Report
      2011 Annual Research Report
  • [Presentation] Smoluchowski-Poisson equation-structure of kinetic mean field Equations. Analysis of non-equilibrium evolution problems, selected topics in material and life sciences2011

    • Author(s)
      鈴木貴
    • Organizer
      2nd Dutch-Japan Workshop
    • Place of Presentation
      EURANDOM, Eindhoven(オランダ)(招待講演)
    • Year and Date
      2011-11-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] Global-in-time behavior of a Gierer-Meinhardt system2011

    • Author(s)
      鈴木貴
    • Organizer
      2nd Dutch-Japan Workshop, Analysis of non-equilibrium evolution problems, selected topics in material and life sciences
    • Place of Presentation
      EURANDOM, Eindhoven(オランダ)(招待講演)
    • Year and Date
      2011-11-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] Some results by energy methods on large-time behavior of viscous gas2011

    • Author(s)
      松村昭孝
    • Organizer
      Third China-Japan workshop on Mathemtical Topics from Fluid Mechanics
    • Place of Presentation
      中国西安大学数学教室(中国)
    • Year and Date
      2011-10-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] 数理モデルを用いた細胞分子反応パスウェイ解析-MT1-MMPについて2011

    • Author(s)
      鈴木貴
    • Organizer
      理論と実験
    • Place of Presentation
      広島大学(広島県)(招待講演)
    • Year and Date
      2011-10-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] 走化性競合系・同時爆発と質量分離2011

    • Author(s)
      鈴木貴
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      信州大学(長野県)
    • Year and Date
      2011-09-30
    • Related Report
      2011 Annual Research Report
  • [Presentation] An asymptotic nondegeneracy result for multi-bubble solutions to the biharmonic Liouville-Gel'fand problem in dimension four2011

    • Author(s)
      大塚浩史, 高橋太
    • Organizer
      日本数学会秋季総合分科会(函数方程式論分科会)
    • Place of Presentation
      信州大学(長野県)
    • Year and Date
      2011-09-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] 2次元Liouville方程式の爆発解の爆発点の個数とMorse指数について2011

    • Author(s)
      高橋太
    • Organizer
      日本数学会秋季総合分科会(函数方程式論分科会)
    • Place of Presentation
      信州大学(長野県)
    • Year and Date
      2011-09-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Simultaneous blowup and collapse mass separation in a competitive system of chemotaxis2011

    • Author(s)
      鈴木貴
    • Organizer
      Nonlinear PDEs arising in mathematical biology
    • Place of Presentation
      Edinburgh(イギリス)(招待講演)
    • Year and Date
      2011-09-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] Stability and instability of self-similar solutions for semilinear heat Equations2011

    • Author(s)
      Y.Naito
    • Organizer
      第7回非線型の諸問題
    • Place of Presentation
      熊本大学(熊本県)(招待講演)
    • Year and Date
      2011-09-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] Asymptotic profiles for the Falk-Konopka elastic system with weak Damping2011

    • Author(s)
      S.Yoshikawa
    • Organizer
      The 4^<th> MSJ-SI Nonlinear Dynamics in Partial Differential Equations
    • Place of Presentation
      九州大学(福岡県)
    • Year and Date
      2011-09-21
    • Related Report
      2011 Annual Research Report
  • [Presentation] The existence and the nonexistence of maximizing functions for the variational problems associated with Trudinger-Moser type inequalities in the whole domain2011

    • Author(s)
      M.Ishiwata
    • Organizer
      MSJ-SI 2011
    • Place of Presentation
      九州大学(福岡県)
    • Year and Date
      2011-09-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] Global-in-time behavior of reaction-diffusion systems in biology2011

    • Author(s)
      鈴木貴
    • Organizer
      武漢大学数学教室談話会
    • Place of Presentation
      武漢大学(中国)(招待講演)
    • Year and Date
      2011-09-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] Camassa-Holm方程式に対する構造保存解法2011

    • Author(s)
      降旗大介, 竹谷賢
    • Organizer
      日本応用数理学会年会
    • Place of Presentation
      同志社大学(京都府)
    • Year and Date
      2011-09-14
    • Related Report
      2011 Annual Research Report
  • [Presentation] Blow-up criteria and self-similarity for semilinear heat equations2011

    • Author(s)
      Y.Naito
    • Organizer
      The 4th MSJ-SI, Nonlinear Dynamics in Partial Differential Equations
    • Place of Presentation
      九州大学(福岡県)
    • Year and Date
      2011-09-14
    • Related Report
      2011 Annual Research Report
  • [Presentation] 数理医学が拓く腫瘍形成原理解明と医療技術革新2011

    • Author(s)
      鈴木貴
    • Organizer
      越境する数学第2回領域シンポジウム,JST「数学と諸分野の協働によるブレークスルーの探索」
    • Place of Presentation
      アキバホール(東京都)
    • Year and Date
      2011-09-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] On a structure of stationary solutions to a nonlinear nonlocal elliptci PDE arising in the Ohmic heating problem2011

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      One Forum Two Cities : Aspects of nonlinear PDEs
    • Place of Presentation
      国立台湾大学(台湾)(招待講演)
    • Year and Date
      2011-09-01
    • Related Report
      2011 Annual Research Report
  • [Presentation] From static to kinetic mean field theories - hierarchy and duality2011

    • Author(s)
      T. Suzuki
    • Organizer
      field theories - hierarchy and duality , RIMS Camp-style Seminar, Modern approach and developments of Onsager's theory on statistical vortices
    • Place of Presentation
      Apical in Kyoto
    • Year and Date
      2011-08-31
    • Related Report
      2012 Final Research Report
  • [Presentation] From static to kinetic mean field theories-hierarchy and duality2011

    • Author(s)
      鈴木貴
    • Organizer
      RIMS Camp-style Seminar, Modern approach and developments of Onsager's theory on statistical Vortices
    • Place of Presentation
      アピカルイン(京都府)(招待講演)
    • Year and Date
      2011-08-31
    • Related Report
      2011 Annual Research Report
  • [Presentation] Free boundary problems for some population model with diffusion2011

    • Author(s)
      Y.Yamada
    • Organizer
      One Forum, Two Cities
    • Place of Presentation
      国立台湾大学(台湾)
    • Year and Date
      2011-08-31
    • Related Report
      2011 Annual Research Report
  • [Presentation] Competitive system of chemotaxis2011

    • Author(s)
      鈴木貴
    • Organizer
      International Conference on Nonlinear Partial Differential Equations and Applications
    • Place of Presentation
      University of Science and Technology of China, Hefei(中国)(招待講演)
    • Year and Date
      2011-08-01
    • Related Report
      2011 Annual Research Report
  • [Presentation] Rectifiable oscillations of radially symmetric solutions of p-Laplace differential equations2011

    • Author(s)
      Y.Naito
    • Organizer
      International Workshop on Geometric and fractal analysis of PDEs and differential systems-Zagreb 2011
    • Place of Presentation
      University of Zagreb(クロアチア)(招待講演)
    • Year and Date
      2011-07-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] Mathematical methods for cancer invasion2011

    • Author(s)
      鈴木貴
    • Organizer
      ICIAM
    • Place of Presentation
      バンクーバー(カナダ)
    • Year and Date
      2011-07-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] Discrete Variational Derivative Method on Voronoi Mesh2011

    • Author(s)
      D.Furihata
    • Organizer
      7th International Congress on Industrial and Mathematics
    • Place of Presentation
      バンクーバー(カナダ)
    • Year and Date
      2011-07-18
    • Related Report
      2011 Annual Research Report
  • [Presentation] Discrete Variational Derivative Method, one of structure preserving methods for PDEs2011

    • Author(s)
      D.Furihata
    • Organizer
      International Conference on Scientific Computation and Differential Equations
    • Place of Presentation
      トロント(カナダ)
    • Year and Date
      2011-07-12
    • Related Report
      2011 Annual Research Report
  • [Presentation] Competitive system of chemotaxis2011

    • Author(s)
      鈴木貴
    • Organizer
      第2回南大阪応用数学セミナー
    • Place of Presentation
      大阪市立大学理学部(大阪府)(招待講演)
    • Year and Date
      2011-07-02
    • Related Report
      2011 Annual Research Report
  • [Presentation] A remark on singular eigenvalue problems for second order linear differential equations2011

    • Author(s)
      Y.Naito
    • Organizer
      2011 International Workshop on Nonlinear PDE and Applications
    • Place of Presentation
      釜山国立大学(韓国)(招待講演)
    • Year and Date
      2011-06-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] On a structure of stationary solutions to a nonlinear nonlocal elliptci PDE arising in the Ohmic heating problem2011

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      One Forum Two Cities : Aspects of nonlinear PDEs
    • Place of Presentation
      国立釜山大学(韓国)(招待講演)
    • Year and Date
      2011-06-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] Decay estimates for a solution to the Laplace equation with a dynamical boundary condition and related topics2011

    • Author(s)
      M.Ishiwata
    • Organizer
      Second Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's
    • Place of Presentation
      Cortona(イタリア)
    • Year and Date
      2011-06-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] Mathematical medicine develops tumor growth research and medical technology innovations2011

    • Author(s)
      鈴木貴
    • Organizer
      Mathematical Methods in Cancer Cell Biology
    • Place of Presentation
      広島大学(広島県)(招待講演)
    • Year and Date
      2011-06-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] Hamilton structure and reaction diffusion equations2011

    • Author(s)
      鈴木貴
    • Organizer
      クレタ大学数学教室談話会
    • Place of Presentation
      クレタ大学(ギリシャ)(招待講演)
    • Year and Date
      2011-04-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] Measure valued solutions of the 2D Keller-Segel system2011

    • Author(s)
      杉山由恵
    • Organizer
      Seminario
    • Place of Presentation
      ICMAT, Spain(招待講演)
    • Year and Date
      2011-02-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] Discrete Variational Derivative Method on Voronoi Mesh-with an example for the Cahn-Hilliard equation-2011

    • Author(s)
      降旗大介
    • Organizer
      2011Tokyo Workshop on Structure-Preserving Methods
    • Place of Presentation
      University of Tokyo
    • Year and Date
      2011-02-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] Weighted estimates of the solutions to the Navier-Stokes equations in half space and perturbed half-space2011

    • Author(s)
      T.Kobayashi
    • Organizer
      第3回名古屋微分方程式研究集会
    • Place of Presentation
      名古屋大学(招待講演)
    • Year and Date
      2011-02-14
    • Related Report
      2010 Annual Research Report
  • [Presentation] Measure valued solutions of the 2D Keller-Segel system2011

    • Author(s)
      杉山由恵
    • Organizer
      第16回早稲田大学「流体数学セミナー」
    • Place of Presentation
      早稲田大学(招待講演)
    • Year and Date
      2011-01-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] Nonlinear Schrodinger equations and geometry of corresponding Nelson diffusions2011

    • Author(s)
      名和範人
    • Organizer
      Probability and PDE 2011
    • Place of Presentation
      広島大学
    • Year and Date
      2011-01-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] Smoluchowski-Poisson equation-wellposedness, asymptotic behavior, and blowup2011

    • Author(s)
      T.Suzuki
    • Organizer
      Variational Problems Associated with Non-compact Palais-Smale sequences
    • Place of Presentation
      京都大学数理解析研究所(招待講演)
    • Related Report
      2010 Annual Research Report
  • [Presentation] Discrete variational derivative method on Voronoi Mesh2010

    • Author(s)
      降旗大介
    • Organizer
      TRAGIC
    • Place of Presentation
      Launceston, Australia
    • Year and Date
      2010-12-14
    • Related Report
      2010 Annual Research Report
  • [Presentation] Instability of the ground state of the nonlinear Schrodinger equations2010

    • Author(s)
      名和範人
    • Organizer
      Model Equations in Bose-Einstein Condensation and Related Topics(SAKURA project)
    • Place of Presentation
      京都大学
    • Year and Date
      2010-12-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] Nonlinear Schr\" odinger equations and geometry of corresponding Nelson diffusions2010

    • Author(s)
      H.Nawa
    • Organizer
      Workshop on Singularities Arising in Nonlinear Problems
    • Place of Presentation
      関西セミナーハウス
    • Year and Date
      2010-11-30
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Nonlinear Schrodinger equations and geometry of corresponding Nelson diffusions2010

    • Author(s)
      名和範人
    • Organizer
      Workshop on Singularities Arising in Nonlinear Problems(SNP)
    • Place of Presentation
      京都府, 関西セミナーハウス
    • Year and Date
      2010-11-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] Asymptotic behavior of solutions for semilinear parabolic equation sinvolving critical Sobolev exponent : avariational point of view2010

    • Author(s)
      M.Ishiwata
    • Organizer
      非線形問題に現れる特異性の解析(SNP2010)
    • Place of Presentation
      京都府・関西セミナーハウス
    • Year and Date
      2010-11-29
    • Related Report
      2010 Annual Research Report
  • [Presentation] 腫瘍診断と成長原理解明に関する数理的方法2010

    • Author(s)
      鈴木貴
    • Organizer
      数学の展開-諸分野との連携を探る
    • Place of Presentation
      東北大学理学部(招待講演)
    • Year and Date
      2010-11-27
    • Related Report
      2010 Annual Research Report
  • [Presentation] Measure valued solutions of the 2D Keller-Segel system2010

    • Author(s)
      杉山由恵
    • Organizer
      熊本における偏微分方程式研究集会
    • Place of Presentation
      熊本大学(招待講演)
    • Year and Date
      2010-11-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] Hamilton formalism to compressible non-viscous fluid equation2010

    • Author(s)
      T.Suzuki
    • Organizer
      Concentration and Related Topics in Nonlinear Problems, International Workshop on PDE
    • Place of Presentation
      東北大学(招待講演)
    • Year and Date
      2010-11-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] Weighted Lp-Lq estimates for the Stokes semigroup in some unbounded domains2010

    • Author(s)
      T.Kobayashi
    • Organizer
      研究集会「偏微分方程式と数理物理学」
    • Place of Presentation
      京都大学(招待講演)
    • Year and Date
      2010-11-16
    • Related Report
      2010 Annual Research Report
  • [Presentation] Competitive system of chemotaxis : simultaneous blowup and collapse mass separation2010

    • Author(s)
      T.Suzuki
    • Organizer
      Analysis Seminar
    • Place of Presentation
      University of Naples, Italy(招待講演)
    • Year and Date
      2010-11-04
    • Related Report
      2010 Annual Research Report
  • [Presentation] Hamiltonian is recursive : a hierarchy of selfinteraction2010

    • Author(s)
      T.Suzuki
    • Organizer
      Physics Seminar
    • Place of Presentation
      Laboratoire de Physique Theorique, Toulouse, France(招待講演)
    • Year and Date
      2010-10-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] On the asymptotic behavior of solutions for semilinear parabolic equations involving critical Sobolev exponent II2010

    • Author(s)
      M.Ishiwata
    • Organizer
      広島微分方程式研究会
    • Place of Presentation
      広島大学
    • Year and Date
      2010-10-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Mathematical methods in cancer and brain research-new approach, invention, and practice2010

    • Author(s)
      T.Suzuki
    • Organizer
      Plenary talk, Faculty of Science Postgraduate, Conference 2010
    • Place of Presentation
      Universiti Teknologi Malaysia, Malaysia(招待講演)
    • Year and Date
      2010-10-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] 圧縮性非粘性Euler方程式のblowup criterion2010

    • Author(s)
      鈴木貴
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] がん初期浸潤過程の細胞変形数理モデル2010

    • Author(s)
      鈴木貴
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] Spectral estimates of least energy solutions to the Brezis-Nirenberg problem with a variable coefficient2010

    • Author(s)
      高橋太
    • Organizer
      日本数学会秋季総合分科会(函数方程式論分科会)
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] 臨界Sobolev 指数をもつ非済次半線形楕円型偏微分方程式2010

    • Author(s)
      佐藤得志、内藤雄基
    • Organizer
      日本数学会2010年度秋期総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] Measure valued solutions of the 2D Keller-Segel system2010

    • Author(s)
      杉山由恵
    • Organizer
      第6回非線型の諸問題
    • Place of Presentation
      山口大学(招待講演)
    • Year and Date
      2010-09-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] Weighted estimates for the Stokes sernigroup in half space and perturbed half-space2010

    • Author(s)
      T.Kobayashi
    • Organizer
      Regularity aspects of PDE
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2010-09-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] Asymptotic behavior of solutions for semilinear parabolic equations involving critical Sobolev exponent2010

    • Author(s)
      M.Ishiwata
    • Organizer
      4th Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      Lorentz Center, Netherland
    • Year and Date
      2010-09-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] The role of self-similarity in the Cauchy problems for semilinear heat equations2010

    • Author(s)
      内藤雄基
    • Organizer
      The 4th Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      Lorentz Center, Netherland
    • Year and Date
      2010-09-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] 脳電流源数き自動決定する脳磁図分析手法2010

    • Author(s)
      鈴木貴、佐藤真、足立善昭
    • Organizer
      日本応用数理学会
    • Place of Presentation
      明治大学駿河台キャンパス
    • Year and Date
      2010-09-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Nonlinear Schrodinger equations and relevant Nelson diffusions2010

    • Author(s)
      名和範人
    • Organizer
      4th Euro-Japan Workshop on Blow-up
    • Place of Presentation
      Lorentz, Center, Netherland
    • Year and Date
      2010-09-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] 腫瘍形成に関わる細胞分子と数理~トップダウンモデリングとキーパスサーチ2010

    • Author(s)
      鈴木貴
    • Organizer
      日本応用数理学会年会総合講演
    • Place of Presentation
      明治大学駿河台キャンパス
    • Year and Date
      2010-09-06
    • Related Report
      2010 Annual Research Report 2010 Self-evaluation Report
  • [Presentation] Asymptotic behavior of solutions to the Cauchy problem for a semilinear heat equation2010

    • Author(s)
      内藤雄基
    • Organizer
      Nonlinear PDE seminar(Pusan University)
    • Place of Presentation
      Pusan Univ.,釜山,韓国
    • Year and Date
      2010-08-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] Measure valued solutions of the 2D Keller-Segel system2010

    • Author(s)
      杉山由恵
    • Organizer
      第13回広島応用解析セミナー
    • Place of Presentation
      広島大学(招待講演)
    • Year and Date
      2010-08-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] 電流双極子数を自動決定する複数電流双極子推定手法2010

    • Author(s)
      鈴木貴、佐藤真、足立善昭
    • Organizer
      日本生体磁気学会
    • Place of Presentation
      東京大学柏キャンパス
    • Year and Date
      2010-07-29
    • Related Report
      2010 Annual Research Report
  • [Presentation] 循環するハミルトニアン-相互作用の階層2010

    • Author(s)
      鈴木貴
    • Organizer
      愛媛大学数学教室談話会
    • Place of Presentation
      解析セミナー
    • Year and Date
      2010-07-28
    • Related Report
      2012 Final Research Report
  • [Presentation] 循環するハミルトニアン-相互作用の階層2010

    • Author(s)
      鈴木貴
    • Organizer
      愛媛大学数学教室談話会
    • Place of Presentation
      愛媛大学(招待講演)
    • Year and Date
      2010-07-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] ECM degradation-a top down modeling of invadopodia2010

    • Author(s)
      T.Suzuki
    • Organizer
      International Workshop on Mathematics for Biology
    • Place of Presentation
      Posco Inernational Center, Postech.Korea
    • Year and Date
      2010-07-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] 循環するハミルトニアン2010

    • Author(s)
      鈴木貴
    • Organizer
      非線型コロキウム
    • Place of Presentation
      早稲田大学理工学院
    • Year and Date
      2010-07-02
    • Related Report
      2010 Annual Research Report 2010 Self-evaluation Report
  • [Presentation] Measure valued solutions of the 2D Keller-Segel system2010

    • Author(s)
      杉山由恵
    • Organizer
      第48回解析ゼミ
    • Place of Presentation
      埼玉大学(招待講演)
    • Year and Date
      2010-06-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] A Structure-Preserving Method on Voronoi Mesh2010

    • Author(s)
      降旗大介
    • Organizer
      RIMS seminar
    • Place of Presentation
      京都大学
    • Year and Date
      2010-06-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Smoluchowski-Poisson equation and harmonic heat flow2010

    • Author(s)
      T.Suzuki
    • Organizer
      調和写像の深化と展望
    • Place of Presentation
      京都大学数理解析研究所(招待講演)
    • Year and Date
      2010-06-02
    • Related Report
      2010 Annual Research Report
  • [Presentation] Hamilton formalism to compressible non-viscous fluid equations2010

    • Author(s)
      T.Suzuki
    • Organizer
      Chinese-German Conference on Fluid and Gas Dynamis
    • Place of Presentation
      Zhejiang Normal University, China(招待講演)
    • Year and Date
      2010-05-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] ECM degradation-A top down modeling on MT1-MMP metalloproteinase2010

    • Author(s)
      T.Suzuki
    • Organizer
      Analysis Seminar
    • Place of Presentation
      Department of Mathematics, Dundee University, UK(招待講演)
    • Year and Date
      2010-05-14
    • Related Report
      2010 Annual Research Report
  • [Presentation] Smoluchowski-Poisson equation in two-space dimension, method of scaled weak limit2010

    • Author(s)
      T.Suzuki
    • Organizer
      Analysis Seminar
    • Place of Presentation
      Department of Applied Mathematics, Heidelberg University, Germany(招待講演)
    • Year and Date
      2010-05-04
    • Related Report
      2010 Annual Research Report
  • [Presentation] Smoluchowski-Poisson equation in two-space dimension, method of scaled weak limit2010

    • Author(s)
      T.Suzuki
    • Organizer
      Differential and Topological Problems in Modern Theore tical Physics
    • Place of Presentation
      International School for Advanced Studies, Trieste, Italy(招待講演)
    • Year and Date
      2010-04-29
    • Related Report
      2010 Annual Research Report
  • [Presentation] Nonexistence of multi-bubble solutions to some elliptic equations on convex domains2010

    • Author(s)
      高橋太
    • Organizer
      日本数学会年会
    • Place of Presentation
      慶応大学
    • Year and Date
      2010-03-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] 点渦系とその平均場について2010

    • Author(s)
      大塚浩史
    • Organizer
      日本数学会年会
    • Place of Presentation
      慶応大学
    • Year and Date
      2010-03-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] Invasion-early stage of tumor metastasis and its mathematics2010

    • Author(s)
      T.Suzuki
    • Organizer
      5^<th> Geometry Conference for Friendship of Japan and China
    • Place of Presentation
      沖縄科学技術研究基盤整備機構
    • Year and Date
      2010-01-30
    • Related Report
      2009 Annual Research Report
  • [Presentation] Mathematical modeling in cancer cell biology2010

    • Author(s)
      T.Suzuki
    • Organizer
      Special Seminar of ITB
    • Place of Presentation
      Institut Teknologi Bandung, Indonesia(招待講演)
    • Related Report
      2010 Annual Research Report
  • [Presentation] Degenerate parabolic equation derived from the kinetic theory2009

    • Author(s)
      T.Suzuki
    • Organizer
      7^<th> East Asia Conference on PDEs
    • Place of Presentation
      Chinese Univ. Hong Kong(中国)
    • Year and Date
      2009-12-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Blow-up analysis for an elliptic equation describing stationary vortex flows with variable intensities in 2D-turbelence2009

    • Author(s)
      大塚浩史
    • Organizer
      7^<th> East Asia PDE Conference
    • Place of Presentation
      Chinese Univ. Hong Kong (中国)
    • Year and Date
      2009-12-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Point vortex turbulence-a recursive hierarchy2009

    • Author(s)
      T. Suzuki
    • Organizer
      The Second Chile-Japan Workshop on Nonlinear Elliptic and Parabolic PDEs
    • Place of Presentation
      明治大学
    • Year and Date
      2009-12-03
    • Related Report
      2012 Final Research Report
  • [Presentation] Point vortex turbulence-a recursive hierarchy2009

    • Author(s)
      T.Suzuki
    • Organizer
      The Second Chile-Japan Workshop on Nonlinear Elliptic and Parabolic PDEs
    • Place of Presentation
      明治大学駿河台キャンパス
    • Year and Date
      2009-12-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] Critical phenomena in linear elliptic problem with Hardy potential2009

    • Author(s)
      内藤雄基
    • Organizer
      京都大学数理解析研究所研究集会「現象解析と関数方程式の新展望」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-11-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Remarks on the shape memory alloy system without viscosity in multi space dimension2009

    • Author(s)
      吉川周二
    • Organizer
      非線形発展方程式と現象の数理
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-10-20
    • Related Report
      2009 Annual Research Report
  • [Presentation] 一次元粘性保存則系の解の長時間挙動---粘性気体の方程式系を軸に---2009

    • Author(s)
      松村昭孝
    • Organizer
      京都大学数理解析研究所研究集会「非線形波動現象の数理と応用」
    • Place of Presentation
      京都大学
    • Year and Date
      2009-10-20
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非線形摂動効果を考慮した走化性方程式系の爆発解について2009

    • Author(s)
      黒木場正城
    • Organizer
      第121回日本数学会九州支部例会
    • Place of Presentation
      佐賀大学理工学部
    • Year and Date
      2009-10-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Pawlow's thermo-mechanical system of equations on shape memory materials2009

    • Author(s)
      T.Suzuki
    • Organizer
      Nonlinear Evolution Equations and Related Topics
    • Place of Presentation
      早稲田大学理工学研究科
    • Year and Date
      2009-10-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] Stationary solutions to the Falk system on shape memory alloys2009

    • Author(s)
      田崎創平
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] カラネティック理論から道出される退化放物型方程式の爆発解について-$\varepsilon$正則性と爆発集合の構造2009

    • Author(s)
      高橋亮
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] Extinction, decay and blow-up for Keller-Segel systems of fast diffusion type2009

    • Author(s)
      杉山由恵
    • Organizer
      日本数学会関数方程式論分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] 高次元領域における走化性方程式系の解の自己相似爆発2009

    • Author(s)
      仙葉隆、内藤雄基
    • Organizer
      日本数学会函数方程式分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] ある2次元楕円型方程式の正値解のMorse指数と最大点の個数について2009

    • Author(s)
      高橋太
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] A nondegeneracy result for least energy solutions to abiharmonic problem with nearly critical exponent2009

    • Author(s)
      高橋太
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非線形摂動効果を考慮した走化性方程式系の爆発解について2009

    • Author(s)
      黒木場正城
    • Organizer
      研究集会"第5回非線型の諸問題"
    • Place of Presentation
      長崎商工会議所
    • Year and Date
      2009-09-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Degenerate parabolic equation derived from the kinetic theory2009

    • Author(s)
      T.Suzuki
    • Organizer
      Evolution Equations, Related Topics and Applications
    • Place of Presentation
      Helmholtz Center, Munich(ドイツ)
    • Year and Date
      2009-09-10
    • Related Report
      2009 Annual Research Report
  • [Presentation] Global in time solution to a class of tumor growth Systems2009

    • Author(s)
      T.Suzuki
    • Organizer
      EQUADIFF 12
    • Place of Presentation
      Bruno(チェコ共和国)
    • Year and Date
      2009-07-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] A remark on global weak solution in time for a system of compressible viscous fluid with large external potential force2009

    • Author(s)
      松村昭孝
    • Organizer
      共同研究集会「流体と気体の数学解析」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-07-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] ポテンシャル外力をもつ圧縮性Navier-Stokes方程式の弱解についての一注意2009

    • Author(s)
      松村昭孝
    • Organizer
      奈良女子大学偏微分方程式研究集会
    • Place of Presentation
      奈良女子大学
    • Year and Date
      2009-06-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] Stationary and non-stationary states for thermo-elastic system of shape memory alloys2009

    • Author(s)
      T.Suzuki
    • Organizer
      Mathematical Challenges Motivated by Multi-Phase Materials
    • Place of Presentation
      Anogia, Crete(ギリシャ)
    • Year and Date
      2009-06-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] 多様な強度を持つ点渦系の定常状態として捉えられた2次元乱流を表す楕円型方程式の爆発解析2009

    • Author(s)
      大塚浩史
    • Organizer
      第58回理論応用力学講演会
    • Place of Presentation
      日本学術会議
    • Year and Date
      2009-06-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非線形摂動効果を考慮した走化性方程式系の爆発解について2009

    • Author(s)
      黒木場正城
    • Organizer
      第58回理論応用力学講演会
    • Place of Presentation
      日本学術会議
    • Year and Date
      2009-06-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] Analytic approach to the two-dimensional normalized Ricci flow equation2009

    • Author(s)
      T.Suzuki
    • Organizer
      保存則と幾何学的偏微分方程式とその応用
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-10
    • Related Report
      2009 Annual Research Report
  • [Presentation] Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent2009

    • Author(s)
      内藤雄基
    • Organizer
      京都大学数理解析研究所研究集会「変分問題とその周辺」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] Einstein′s formula and reaction diffusion equations2009

    • Author(s)
      T. Suzuki
    • Organizer
      Mathematical Science and Nonlinear Differential Equations
    • Place of Presentation
      Osaka University
    • Year and Date
      2009-02-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] On a nonliearly perturbed elliptic parabolic system in$R^2$2009

    • Author(s)
      黒木場 正城
    • Organizer
      日本数学会九州支部例会
    • Place of Presentation
      福岡大学
    • Year and Date
      2009-01-31
    • Related Report
      2008 Annual Research Report
  • [Presentation] Geometric diffusion and meand field equations2008

    • Author(s)
      T. Suzuki
    • Organizer
      The 1st Workshop of Shanghai Jiao Tong University and Osaka University on Mathematical Sciences
    • Place of Presentation
      Shanghai Jiao Tong University
    • Year and Date
      2008-12-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] Mean field equations provided with mass quantization2008

    • Author(s)
      T. Suzuki
    • Organizer
      PDE approximations in fast reaction-slow diffusion
    • Place of Presentation
      Leiden Univesity
    • Year and Date
      2008-11-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] stability of the steady state for multi-dimensionalthermoe1astic systems of shape memory alloys2008

    • Author(s)
      S. Yoshikawa
    • Organizer
      PDE approximations in fast reaction-slow diffusion
    • Place of Presentation
      Leiden Univesity
    • Year and Date
      2008-11-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] A variational approach for self-smi1ar solutions to anonlinear heat equation with critical Sobolev exponent2008

    • Author(s)
      Y. Naito
    • Organizer
      偏微分方程式研究集会
    • Place of Presentation
      熊本大学
    • Year and Date
      2008-10-24
    • Related Report
      2008 Annual Research Report
  • [Presentation] On the Trudinger-Moser ineguality relating to the freeenergy for the mean field of vortices2008

    • Author(s)
      H. Ohtsuka
    • Organizer
      偏微分方程式研究集会
    • Place of Presentation
      熊本大学
    • Year and Date
      2008-10-24
    • Related Report
      2008 Annual Research Report
  • [Presentation] Onsagerの2次元乱流理論-最近の展開2008

    • Author(s)
      鈴木 貴
    • Organizer
      非線形ダイナミクス研究会
    • Place of Presentation
      大阪大学
    • Year and Date
      2008-10-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] stationary Fix-Caginalp equation with non-local term2008

    • Author(s)
      田崎 創平
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] 臨界Sobolev型方程式の爆発解析と漸近的非退化性2008

    • Author(s)
      高橋 太
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] Interfaces for 1-D degenerate Keller-Segel systern2008

    • Author(s)
      杉山 由恵
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] 外部領域におけるstokes半群の重み付きLp-Lq 評価について2008

    • Author(s)
      小林 孝行
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2008-09-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] Potential well type results for critical semi1inearparabolic eauations with gradient term2008

    • Author(s)
      石渡 通徳
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] ボロノイ格子上の離散変分導関数法2008

    • Author(s)
      降旗 大介
    • Organizer
      日本応用数理学会年会
    • Place of Presentation
      東京大学
    • Year and Date
      2008-09-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] Self-sdimens2008

    • Author(s)
      Y. Naito
    • Organizer
      Mathematical Analysis on the self-organization and the self-similarity
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-09-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] Threshold solutions for a seimi1inear heat eguationwith Sobolev critical exponent2008

    • Author(s)
      Y. Naito
    • Organizer
      Third Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      東北大学
    • Year and Date
      2008-09-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] Dimension control of the blowup set for parabolic and elliptic problems2008

    • Author(s)
      T.Suzuki
    • Organizer
      Third Euro-Japanese Workshop on Blowup
    • Place of Presentation
      東北大学
    • Year and Date
      2008-09-11
    • Related Report
      2012 Final Research Report
  • [Presentation] Dimension control of the blowup set for parabolic andelliptic problems2008

    • Author(s)
      T. Suzuki
    • Organizer
      Third Euro-Japanese Workshop on Blowup
    • Place of Presentation
      東北大学
    • Year and Date
      2008-09-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] Asymptotic profiles and blowup rates for the $L^2$ critical no nlinear Schr\" odinger equation2008

    • Author(s)
      H. Nawa
    • Organizer
      The Third Euro-Japan Workshop on Blow-up
    • Place of Presentation
      東北大学
    • Year and Date
      2008-09-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] Local property of the mountain-pass critical point andthe mean field equation2008

    • Author(s)
      H. Ohtsuka
    • Organizer
      The 5th East China Partial Differential Equations Conference
    • Place of Presentation
      Nanjin University
    • Year and Date
      2008-07-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] An analytic approach to the normalized Ricci flow2008

    • Author(s)
      T. Suzuki
    • Organizer
      変分問題とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-06-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] Asymptotic non-degeneracy results for the mean fieldequations on surfaces2008

    • Author(s)
      H. Ohtsuka
    • Organizer
      変分問題とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-06-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] カイネティック理論における退化放物型方程式2008

    • Author(s)
      鈴木 貴
    • Organizer
      第57回理論応用力学連合講演会
    • Place of Presentation
      日本学術会議
    • Year and Date
      2008-06-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] Non-homogeneous semi1inear elliptic equations involvingcritical Sobolev exponent2008

    • Author(s)
      Y. Naito
    • Organizer
      International Conference on Nonlinear PDE and Applications
    • Place of Presentation
      Pusan National Univesity
    • Year and Date
      2008-06-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] 圧縮性Navier-Stokes-Poisson方程式の緩和時間O極限と退化drift-diffusion方程式2008

    • Author(s)
      小林 孝行
    • Organizer
      第57回理論応用力学講演会
    • Place of Presentation
      日本学術会議
    • Year and Date
      2008-06-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Harmonic heat flowと走化性方程式-幾何/解析/物理におけるエネルギーと質量の量子化について2008

    • Author(s)
      鈴木 貴
    • Organizer
      多様体上の微分方程式
    • Place of Presentation
      金沢市
    • Related Report
      2008 Annual Research Report
  • [Book] Applied Analysis: Mathematical Methods in Natural Science, second edition2011

    • Author(s)
      T.Suzuki and T. Senba
    • Total Pages
      515
    • Publisher
      Imperial College Press, London
    • Related Report
      2012 Final Research Report
  • [Book] Applied Analysis : Mathematical Methods in Natural Science2011

    • Author(s)
      T.Suzuki, T.Senba
    • Total Pages
      515
    • Publisher
      Imperial College Press
    • Related Report
      2011 Annual Research Report
  • [Book] 原理と現象-数理モデリングの初歩2010

    • Author(s)
      山岸弘幸・鈴木貴
    • Publisher
      培風館
    • Related Report
      2010 Self-evaluation Report
  • [Book] Discrete Variational Derivative Method : A Structure-Preserving Numerical Method for Partial Differential Equations2010

    • Author(s)
      D.Furihata, T.Matsuo
    • Publisher
      Chapmann and Hall/CRC
    • Related Report
      2010 Self-evaluation Report
  • [Book] 応用解析ハンドブック(増田久弥編)(楕円型方程式)2010

    • Author(s)
      鈴木貴
    • Publisher
      東京スプリンガー
    • Related Report
      2010 Self-evaluation Report
  • [Book] 原理と現象-数理モデリングの初歩2010

    • Author(s)
      鈴木貴(山岸弘幸と共著)
    • Publisher
      培風館
    • Related Report
      2010 Annual Research Report
  • [Book] Discrete Variational Derivative Method : A Structure-Preserving Numerical Method for Partial Differential Equations2010

    • Author(s)
      D.Furihata(T, Matsuoと共著)
    • Publisher
      Chapman and Hall/CRC, Florida
    • Related Report
      2010 Annual Research Report
  • [Book] Proceedings of the PDE approximations in fast diffusion-slow reaction, Stability of the steady state for multi-dimensional thermo-elastic systems of shape memory alloys2010

    • Author(s)
      T.Suzuki, et al.
    • Publisher
      Elsevier Publishers(印刷中)
    • Related Report
      2009 Annual Research Report
  • [Book] Proceedings of the PDE approximations in fast diffusion-slow reaction, Reaction diffusion equation with non-local term arises as a mean field limit of the master equation2010

    • Author(s)
      T.Suzuki, et al.
    • Publisher
      Elsevier Publishers(印刷中)
    • Related Report
      2009 Annual Research Report
  • [Book] Mean Field Theories and Dual Variation - A Mathematical Profile Emerged in the Nonlinear Hierarchy2008

    • Author(s)
      T. Suzuki
    • Total Pages
      288
    • Publisher
      Atlantis Press, Amsterdam
    • Related Report
      2012 Final Research Report
  • [Book] Handbook of Differential Equations, Stationary Partial Differential Equations, vol. 5, (M. Chipot, ed. ), Nonlineareigenvalue problem with quantization2008

    • Author(s)
      T. Suzuki, et al.
    • Total Pages
      93
    • Publisher
      Elsevier, Amsterdam
    • Related Report
      2008 Annual Research Report
  • [Book] Mean Field Theories and Dual Variation2008

    • Author(s)
      T. Suzuki
    • Total Pages
      288
    • Publisher
      Atlantis Press, Amsterdam
    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • URL

      http://www.sigmath.es.osaka-u.ac.jp/suzuki/title.html

    • Related Report
      2012 Final Research Report
  • [Remarks]

    • Related Report
      2011 Annual Research Report
  • [Remarks] ホームページ

    • URL

      http://www.sigmath.es.osaka-u.ac.jp/suzuki/index.html

    • Related Report
      2010 Self-evaluation Report
  • [Remarks]

    • URL

      http://www.sigmath.es.osaka-u.ac.jp/suzuki/index.html

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.sigmath.es.osaka-u.ac.jp/suzuki/index.html

    • Related Report
      2008 Annual Research Report
  • [Patent(Industrial Property Rights)] 磁場源推定装置2011

    • Inventor(s)
      鈴木貴他
    • Industrial Property Rights Holder
      大阪大学
    • Filing Date
      2011-12-14
    • Related Report
      2012 Final Research Report
  • [Patent(Industrial Property Rights)] 画像解析装置、画像解析方法、画像解析プログラムおよび記録媒体2011

    • Inventor(s)
      鈴木貴, 他
    • Industrial Property Rights Holder
      大阪大学
    • Filing Date
      2011-01-13
    • Related Report
      2010 Self-evaluation Report
    • Overseas
  • [Patent(Industrial Property Rights)] ホモロジー計算ソフトを用いたガン特定のための画像処理技術2010

    • Inventor(s)
      鈴木貴, 他2名
    • Industrial Property Rights Holder
      国立大学法人 大阪大学
    • Filing Date
      2010-01-13
    • Related Report
      2009 Annual Research Report
    • Overseas
  • [Patent(Industrial Property Rights)] 磁場源推定装置2009

    • Inventor(s)
      鈴木貴, 他
    • Industrial Property Rights Holder
      大阪大学
    • Industrial Property Number
      2009-283426
    • Filing Date
      2009-12-14
    • Related Report
      2010 Self-evaluation Report
  • [Patent(Industrial Property Rights)] 磁場源推定装置2009

    • Inventor(s)
      鈴木貴, 他1名
    • Industrial Property Rights Holder
      国立大学法人 大阪大学
    • Industrial Property Number
      2009-283426
    • Filing Date
      2009-12-14
    • Related Report
      2009 Annual Research Report
  • [Patent(Industrial Property Rights)] ホモロジー計算ソフトを用いたガン特定のための画像処理技術2009

    • Inventor(s)
      鈴木 貴, 他2名
    • Industrial Property Rights Holder
      国立大学法人大阪大学
    • Industrial Property Number
      2009-015725
    • Filing Date
      2009-01-27
    • Related Report
      2008 Annual Research Report

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Published: 2008-04-01   Modified: 2019-07-29  

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