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Mathematical Analysis for Mathematical Models Arising in Near From Equilibrium

Research Project

Project/Area Number 26247013
Research Category

Grant-in-Aid for Scientific Research (A)

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

Principal Investigator

Suzuki Takashi  大阪大学, 数理・データ科学教育研究センター, 特任教授(常勤) (40114516)

Co-Investigator(Kenkyū-buntansha) 太田 雅人  東京理科大学, 理学部第一部数学科, 教授 (00291394)
森田 善久  龍谷大学, 理工学部, 教授 (10192783)
大塚 浩史  金沢大学, 数物科学系, 教授 (20342470)
Project Period (FY) 2014-06-27 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥38,740,000 (Direct Cost: ¥29,800,000、Indirect Cost: ¥8,940,000)
Fiscal Year 2018: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000)
Fiscal Year 2017: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000)
Fiscal Year 2016: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000)
Fiscal Year 2015: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000)
Fiscal Year 2014: ¥9,100,000 (Direct Cost: ¥7,000,000、Indirect Cost: ¥2,100,000)
Keywords非線形偏微分方程式 / 解の爆発 / 時間大域解 / 臨界指数 / 平均場 / 非平衡熱力学 / 力学系 / 数理腫瘍学 / 近平衡力学系 / 楕円型方程式 / 反応拡散方程式 / 点渦系 / 分散波動 / 数理生物学 / 統計力学 / 非線形解析(含変分解析・非線形現象) / 偏微分方程式 / 半線形楕円型方程式 / 渦糸系 / 反応ネットワーク / 平均場極限 / ロトカ・ボルテラ系 / ストレス応答 / ロッカ・ボルテラ系 / 走行性 / 正規化リッチ流 / 化学反応系 / 分数拡散 / 量子化 / 走化性 / 点渦系平均場方程式 / 緩和時間平均場方程式 / Trudinger-Moser不等式 / 循環的階層 / 走化性方程式 / 非局所項 / 質量保存反応拡散系
Outline of Final Research Achievements

Partial differential equations are used to clarify and predict various phenomena in physics, engineer, biology, and so forth. Recent amazing progress in mathematical analysis, particularly, has revealed unexpected events due to the nonlinearity. In this project we have overviewed individual developments and observed the spliting of complicated phenomena into several factors, under the presence of near from equilibrium, through the study on point vortices, echological systems, material transport, Ricci flow, chemical reation, dispersive waves, cell signaling, and neural network.

Academic Significance and Societal Importance of the Research Achievements

熱力学や統計力学の法則を自然に反映する形で、弱スケール極限の方法、双対法による特製の解消、移動する座標での物質変動量の解析など、革新的な数学解析法を開拓し、様々な分野の数理モデルを統一的に支配するいくつかの原理が実現されていることを明らかにした。これは数学的な技法と物理法則が不可分なものであることを示した融合的な研究であり、新たに解明された現象はこれまでの数学内部で考えられていた課題から大きく逸脱した原理を示唆するものとなり、今後の数学研究の動向を示唆することとなった。またこの研究によって数理モデリングの方法がより確かとなり、生命科学と数学の新たな融合が生み出されたことは学術的な意義が深い。

Report

(6 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • Research Products

    (174 results)

All 2019 2018 2017 2016 2015 2014 Other

All Int'l Joint Research (13 results) Journal Article (69 results) (of which Int'l Joint Research: 15 results,  Peer Reviewed: 61 results,  Open Access: 22 results,  Acknowledgement Compliant: 18 results) Presentation (76 results) (of which Int'l Joint Research: 22 results,  Invited: 39 results) Book (9 results) Remarks (2 results) Funded Workshop (5 results)

  • [Int'l Joint Research] institut de Recherche Mathmatique(フランス)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Mannheim(ドイツ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Graz(オーストリア)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Institut de Recherche Mathmatique(フランス)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] University of St. Andrews(英国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] チェスタ大学(英国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] バンドン工科大学(インドネシア)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] グラーツ大学(オーストリア)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] マンハイム大学(ドイツ)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] ナポリ大学/ローマ大学(イタリア)

    • Related Report
      2014 Annual Research Report
  • [Int'l Joint Research] チェスタ大学(英国)

    • Related Report
      2014 Annual Research Report
  • [Int'l Joint Research] トゥルーズ大学(フランス)

    • Related Report
      2014 Annual Research Report
  • [Int'l Joint Research] グラーツ大学(オーストリア)

    • Related Report
      2014 Annual Research Report
  • [Journal Article] Entire solutions to reaction-diffusion equations in multiple half-lines with a junction2019

    • Author(s)
      Jimbo Shuichi、Morita Yoshihisa
    • Journal Title

      Journal of Differential Equations

      Volume: 267 Issue: 2 Pages: 1247-1276

    • DOI

      10.1016/j.jde.2019.02.008

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lotka-Volterra systems with periodic orbits2019

    • Author(s)
      M. Kobayashi, Y. Yamada, T. Suzuki
    • Journal Title

      F.E.

      Volume: 62 Pages: 129-155

    • NAID

      130007649856

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mathematical analysis of getinib resistence of lung adenocarcinoma caused by MET amplication2019

    • Author(s)
      T. Ito, Y. Kumagai, K. Itano, T. Maruyama, K. Tamura, S. Kawasaki, T. Suzuki, Y. Murakami
    • Journal Title

      Biochem- ical and Biophysical Research Communications (Ito)

      Volume: 511(3) Pages: 544-550

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Large-time asymptotics of a public goods game model with diffusion2019

    • Author(s)
      Fellner Klemens、Latos Evangelos、Suzuki Takashi
    • Journal Title

      Monatshefte fur Mathematik

      Volume: 0 Issue: 1 Pages: 0-0

    • DOI

      10.1007/s00605-019-01275-9

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Stability and spectral comparison of a reaction-diffusion system with mass conservation2018

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

      J. Dynam. Differential Equations

      Volume: 印刷中 Issue: 2 Pages: 823-844

    • DOI

      10.1007/s10884-018-9650-6

    • Related Report
      2018 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Strong instability of standing waves for nonlinear Schrodinger equations with a partial confinement2018

    • Author(s)
      Masahito Ohta
    • Journal Title

      Communications on Pure and Applied Analysis

      Volume: 17 Issue: 4 Pages: 1671-1680

    • DOI

      10.3934/cpaa.2018080

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Strong Instability of Standing Waves for Nonlinear Schrödinger Equations with Harmonic Potential2018

    • Author(s)
      Masahito Ohta
    • Journal Title

      Funkcialaj Ekvacioj

      Volume: 61 Issue: 1 Pages: 135-143

    • DOI

      10.1619/fesi.61.135

    • NAID

      130006726035

    • ISSN
      0532-8721
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Strong instability of standing waves with negative energy for double power nonlinear Schrodinger equations2018

    • Author(s)
      Noriyoshi Fukaya, Masahito Ohta
    • Journal Title

      SUT Journal of Mathematics

      Volume: 54 Pages: 131-143

    • NAID

      120006732564

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Blow-up analysis for Boltzmann-Poisson equation in Onsager's theory for point vortices with multi-intensities2018

    • Author(s)
      Suzuki Takashi、Toyota Yohei
    • Journal Title

      Journal of Differential Equations

      Volume: 264 Issue: 10 Pages: 6325-6361

    • DOI

      10.1016/j.jde.2018.01.036

    • Related Report
      2018 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Morse indices of the solutions to the Liouville-Gel'fand problem with variable coefficients2018

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

      Funkcialaj Ekvacioj

      Volume: 61 Pages: 229-265

    • NAID

      130007411716

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behaviour of the solutions to a virus dynamics model with diffusion2018

    • Author(s)
      Toru Sasaki and Takashi Suzuki
    • Journal Title

      Discrete and Continuous Dynamical Systems, Series B

      Volume: 23-2 Issue: 2 Pages: 525-541

    • DOI

      10.3934/dcdsb.2017206

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior in chemical reaction-diffusion systems with boundary equilibria2018

    • Author(s)
      M. Pierre, H. Umakoshi, T. Suzuki
    • Journal Title

      J. Appl. Anal. Comp.

      Volume: 8 Pages: 836-858

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical approach to existence and stability of stationary solutions to a SKT cross-diffusion equation2018

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

      Math- ematical Models and Methods in Applied Sciences

      Volume: 28 Pages: 2191-2210

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Critical roles of IB and RelA phosphorylation in transitional oscillation in NF - kB signaling module2018

    • Author(s)
      N. Hatanaka, T. Seki, J. Inoue, A. Tero, T. Suzuki
    • Journal Title

      JTB

      Volume: 462 Pages: 479-489

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Two-dimensional signal transduction during the formation of invadopodia2018

    • Author(s)
      N.A.N. Azuan, N. Yaacob, T. Suzuki, C. Poignard, S. Shae, M.A.B. Admon
    • Journal Title

      Malaysian J. Math. Sci.

      Volume: 0 Pages: 0-0

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dissipative reaction diffusion systems with quadratic growth2018

    • Author(s)
      M. Pierre, Y. Yamada, T. Suzuki
    • Journal Title

      Indiana Univ. Math. J.

      Volume: 68 Pages: 291-322

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonlocal eigenvalue problems arising in a generalized phase-field-type system2018

    • Author(s)
      S. Jimbo and Y. Morita
    • Journal Title

      Japan J. Indust. Appl. Math.

      Volume: 34 Issue: 2 Pages: 555-584

    • DOI

      10.1007/s13160-017-0254-z

    • NAID

      210000188099

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A diffusion model for cell polarization with interactions on the membrane2018

    • Author(s)
      Y. Morita and K. Sakamoto
    • Journal Title

      Japan J. Indust. Appl. Math.

      Volume: 35 Issue: 1 Pages: 261-276

    • DOI

      10.1007/s13160-017-0290-8

    • NAID

      210000174677

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of equilibrium states of reaction-diffusion systems with mass conservation2018

    • Author(s)
      J.-L. Chern, Y. Morita, and T.-T. Shieh
    • Journal Title

      J. Differential Equations

      Volume: 264 Issue: 2 Pages: 550-574

    • DOI

      10.1016/j.jde.2017.09.015

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Relaxation theory for point vortices2017

    • Author(s)
      K. Sawada, T. Suzuki
    • Journal Title

      INTECH

      Volume: 11 Pages: 205-224

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reaction enhancement by chemotaxis in a model describing fertization of corals2017

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

      Nonlinear Analysis: Real World Applica- tions

      Volume: 35 Pages: 102-131

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A priori bounds for superlinear elliptic equations with semidefinite nonlinearity2017

    • Author(s)
      Yuki Naito, Takashi Suzuki, Yohei Toyota
    • Journal Title

      Nonlinear Anal.

      Volume: 151 Pages: 18-40

    • DOI

      10.1016/j.na.2016.11.016

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Global-in-time behavior of weak solutions to reaction?diffusion systems with inhomogeneous Dirichlet boundary condition2017

    • Author(s)
      Pierre Michel、Suzuki Takashi、Umakoshi Haruki
    • Journal Title

      Nonlinear Analysis

      Volume: 159 Pages: 393-407

    • DOI

      10.1016/j.na.2017.01.013

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Finding Solvable Units of Variables in Nonlinear ODEs of ECM Degradation Pathway Network2017

    • Author(s)
      Kawasaki Shuji、Minerva Dhisa、Itano Keiko、Suzuki Takashi
    • Journal Title

      Computational and Mathematical Methods in Medicine

      Volume: 2017 Pages: 1-15

    • DOI

      10.1155/2017/5924270

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Eigenvalues and eigenfunctions of double layer potentials2017

    • Author(s)
      Miyanishi Yoshihisa、Suzuki Takashi
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 369 Issue: 11 Pages: 8037-8059

    • DOI

      10.1090/tran/6913

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of solutions to chemical reaction diffusion systems2017

    • Author(s)
      Pierre Michel、Suzuki Takashi、Zou Rong
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 450 Issue: 1 Pages: 152-168

    • DOI

      10.1016/j.jmaa.2017.01.022

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the dynamics of a non-local parabolic equation associated with Gierer-Meinhardt system2017

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

      Nonlinearity

      Volume: 30 Pages: 1734-1761

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Shape memory wires in R32017

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

      INTECH

      Volume: 2 Pages: 37-56

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Study on the tumor-induced angiogenesis using mathematical models2017

    • Author(s)
      Suzuki Takashi、Minerva Dhisa、Nishiyama Koichi、Koshikawa Naohiko、Chaplain Mark Andrew Joseph
    • Journal Title

      Cancer Science

      Volume: 109 Issue: 1 Pages: 15-23

    • DOI

      10.1111/cas.13395

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Instability of solitary wave solutions for derivative nonlinear Schrodinger equation in endpoint case2017

    • Author(s)
      Cui Ning, Masahito Ohta, Yifei Wu
    • Journal Title

      JOURNAL OF DIFFERENTIAL EQUATIONS

      Volume: 262 Issue: 3 Pages: 1671-1689

    • DOI

      10.1016/j.jde.2016.10.020

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Error analysis of splitting methods for semilinear evolution equations2017

    • Author(s)
      Ohta Masahito、Sasaki Takiko
    • Journal Title

      Applications of Mathematics

      Volume: 62 Issue: 4 Pages: 405-432

    • DOI

      10.21136/am.2017.0020-17

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Free boundary problem for cell protrusion formations: theoretical and numerical aspects2017

    • Author(s)
      Gallinato Olivier、Ohta Masahito、Poignard Clair、Suzuki Takashi
    • Journal Title

      JOURNAL OF MATHEMATICAL BIOLOGY

      Volume: 75 Issue: 2 Pages: 263-307

    • DOI

      10.1007/s00285-016-1080-7

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Qualitative analysis on positive steady-states for an autocatalytic reaction model in thermodynamics2017

    • Author(s)
      Wu Jianhua、Li Yi、Jia Yunfeng
    • Journal Title

      Discrete and Continuous Dynamical Systems

      Volume: 37 Issue: 9 Pages: 4785-4813

    • DOI

      10.3934/dcds.2017206

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Reaction-diffusion models with a conservation law and pattern formation2016

    • Author(s)
      Y. Morita and N. Shinjo
    • Journal Title

      Josai Mathmatical Monographs

      Volume: 9 Pages: 177-190

    • NAID

      120005744555

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Decay estimates for the Cauchy problem for the damped extensible beam equation2016

    • Author(s)
      Reinhard Racke and Shuji Yoshikawa
    • Journal Title

      Applicable Analysis

      Volume: 95 Issue: 5 Pages: 1118-1136

    • DOI

      10.1080/00036811.2015.1053051

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Reaction terms avoiding aggregation in slow fluids2015

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

      Nonlinear Analysis B, Real World Applications

      Volume: 21 Pages: 110-126

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Global-in-time behavior of Lotka-Volterra system with diffusion - skew symmetric case2015

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

      Indiana Univ. Math. J.

      Volume: 64 Pages: 181-216

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Blowup in infinite time for 2D Smoluchowski-Poisson equation2015

    • Author(s)
      T. Suzuki
    • Journal Title

      Differential Integral Equations

      Volume: 28 Pages: 601-630

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] An analytic approach to the normalized Ricci flow-like equation: revisited2015

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

      Applied Mathematics Letters

      Volume: 44 Pages: 30-33

    • DOI

      10.1016/j.aml.2014.12.009

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Existence and uniqueness of mild solutions for fractional semilinear differential equations2015

    • Author(s)
      B.H. Guswanto, T. Suzuki
    • Journal Title

      Electronic J. Differential Equations

      Volume: 2015-168 Pages: 1-16

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Almost collapse mass quantization in 2D Smoluchowski-Poisson equation2015

    • Author(s)
      T. Suzuki
    • Journal Title

      Math. Meth. Appl. Sci.

      Volume: 38 Issue: 7 Pages: 3587-3600

    • DOI

      10.1002/mma.3602

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Lagrangian approach to weakly nonlinear interaction of Kelvin waves and a symmetry-breaking bifurcation of a rotating flow2015

    • Author(s)
      Yasuhide Fukumoto, Youichi Mie
    • Journal Title

      Fluid Dynamics Research

      Volume: 47 Issue: 1 Pages: 015509-015509

    • DOI

      10.1088/0169-5983/47/1/015509

    • NAID

      120005690812

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Spectral comparison and gradient-like property2015

    • Author(s)
      Chao-Nien Chen, Shuichi Jimbo, and Yoshihisa Morita
    • Journal Title

      Nonlinearity

      Volume: 28 Issue: 4 Pages: 1003-1016

    • DOI

      10.1088/0951-7715/28/4/1003

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] On the circumradius condition for piecewise linear triangular elements2015

    • Author(s)
      K. Kobayashi, T. Tsuchiya
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 32 Issue: 1 Pages: 65-76

    • DOI

      10.1007/s13160-014-0161-5

    • NAID

      210000169112

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] On the fine behaviors of the eigenvalues of the linearized Gel'fand problem and its applications2015

    • Author(s)
      Hiroshi Ohtsuka
    • Journal Title

      数理解析研究所講究録

      Volume: 1974 Pages: 53-67

    • Related Report
      2015 Annual Research Report
  • [Journal Article] A weakly coupled system of advection-reaction and diffusion equations in physiological gas transport2015

    • Author(s)
      Y. Morita and N. Shinjo
    • Journal Title

      Japan J. Indust. Appl. Math.

      Volume: 32 Issue: 2 Pages: 437-463

    • DOI

      10.1007/s13160-015-0174-8

    • NAID

      210000164964

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Perturbations and dynamics of reaction-diffusion systems with mass conservation2015

    • Author(s)
      M. Kuwamura and Y. Morita
    • Journal Title

      Physical Review E

      Volume: 92 Issue: 1 Pages: 012908-012908

    • DOI

      10.1103/physreve.92.012908

    • NAID

      120005647289

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Singular limits in the Cauchy problem for the damped extensible beam equation2015

    • Author(s)
      Reinhard Racke and Shuji Yoshikawa
    • Journal Title

      Journal of Differential Equations

      Volume: 259 Issue: 4 Pages: 1297-1322

    • DOI

      10.1016/j.jde.2015.02.045

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A conservative finite difference scheme for the Falk model system of shape memory alloys2015

    • Author(s)
      Shuji Yoshikawa
    • Journal Title

      ZAMM - Zeitschrift fur Angewandte Mathematik und Mechanik

      Volume: 95 Issue: 12 Pages: 1393-1410

    • DOI

      10.1002/zamm.201300177

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Urinary laminin-γ2 is a novel biomarker of non-muscle invasive urothelial carcinoma2015

    • Author(s)
      Kamada M, Koshikawa N, Minegishi T, Kawada C, Karashima T, Shuin T, & Seiki M
    • Journal Title

      Cancer Sci

      Volume: 106(12) Pages: 1730-7

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Proteolysis of EphA2 Converts It from a Tumor Suppressor to an Oncoprotein2015

    • Author(s)
      Koshikawa N, Hoshino D, Taniguchi H, Minegishi T, Tomari T, Nam SO, Aoki M, Sueta T, Nakagawa T, Miyamoto S, Nabeshima K, Weaver AM, Seiki M
    • Journal Title

      Cancer Res

      Volume: 75(16) Pages: 3327-39

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Association of SIRT1 and tumor suppressor gene TAp63 expression in head and neck squamous cell carcinoma2015

    • Author(s)
      Kikuchi K, Noguchi A, Kasajima R, Miyagi Y, Hoshino D, Koshikawa N, Kubota A, Yokose T, Takano Y
    • Journal Title

      Tumour Biol

      Volume: 36(10) Pages: 7865-72

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Strong instability of standing waves for nonlinear Schrödinger equations with double power nonlinearity2015

    • Author(s)
      Masahito Ohta, Takahiro Yamaguchi
    • Journal Title

      SUT Journal of Mathematics

      Volume: 51 Pages: 49-58

    • NAID

      120006397882

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A scale invariant form of a critical Hardy inequality2015

    • Author(s)
      N. Ioku, and M. Ishiwata
    • Journal Title

      Int. Math. Res. Not. IMRN

      Volume: 2015 Issue: 18 Pages: 8830-8846

    • DOI

      10.1093/imrn/rnu212

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Duality and best constant for a Trudinger-Moser inequality involving probablity mesures2014

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

      J. Euro. Math. Soc.

      Volume: 16 Pages: 1327-1348

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Non-local reaction-diffusion system involving reaction rdius II, rate of convergence2014

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

      IMA J. Apll. Math.

      Volume: 79 Issue: 1 Pages: 1-21

    • DOI

      10.1093/imamat/hxs032

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Brownian point vortices and DD-model2014

    • Author(s)
      T. Suzuki
    • Journal Title

      Disc. Conti. Dyn. Syst. S

      Volume: 7 Pages: 161-176

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On a perturbed system of chemotaxis, II2014

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

      International J. Pure Appl. Math.

      Volume: 92 Pages: 305-334

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Morse indices of multiple blow-up solutions to the two-dimensional Gel'fand problem2014

    • Author(s)
      Francesca Gladiali, Massimo Grossi, Hiroshi Ohtsuka, and Takashi Suzuki
    • Journal Title

      Communications in Partial Differential Equations

      Volume: 39 Issue: 11 Pages: 2028-2063

    • DOI

      10.1080/03605302.2014.930485

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Global existence and blow up for a system describing the aggregation of micoglia2014

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

      Applied Math. Letters

      Volume: 35 Pages: 29-34

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Instability of solitary waves for nonlinear Schrodinger equations of derivative type2014

    • Author(s)
      Masahito Ohta
    • Journal Title

      SUT Journal of Mathematics

      Volume: 50 Pages: 399-415

    • Related Report
      2014 Annual Research Report
  • [Journal Article] Finite element approximation of conformal mappings to unbounded Jordan domains2014

    • Author(s)
      T. Tsuchiya
    • Journal Title

      Numerical Functional Analysis and Optimization

      Volume: 35 Issue: 10 Pages: 1382-1397

    • DOI

      10.1080/01630563.2013.837482

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] On the sharp constant for the weighted Trudinger-Moser type inequality of the scaling invariant form2014

    • Author(s)
      Michinori Ishiwata, Makoto Nakamura, Hidemitsu Wadade
    • Journal Title

      Ann. Institute Henri Poincar \'{e}

      Volume: 2 Pages: 297-314

    • Related Report
      2014 Annual Research Report
  • [Journal Article] Instabilities of rotational flows in azimuthal magnetic fields of arbitrary radial dependence2014

    • Author(s)
      Oleg N Kirillov, Frank Stefani, Yasuhide Fukumoto
    • Journal Title

      Fluid Dynamics Research

      Volume: 46 Issue: 3 Pages: 031403-031403

    • DOI

      10.1088/0169-5983/46/3/031403

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Regularity criteria for the incompressible Hall-MHD system2014

    • Author(s)
      Jishan Fan, Yasuhide Fukumoto, Gen Nakamura, Yong Zhou
    • Journal Title

      Zeitschrift fur Angewandte Mathematik und Mechanik: ZAMM

      Volume: online Issue: 11 Pages: 1156-1160

    • DOI

      10.1002/zamm.201400102

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Relabeling symmetry in relativistic fluids and plasmas2014

    • Author(s)
      Y. Kawazura, Z. Yoshida, and Y. Fukumoto
    • Journal Title

      J. Phys. A: Math. Theor.

      Volume: 47 Issue: 46 Pages: 4655011-17

    • DOI

      10.1088/1751-8113/47/46/465501

    • NAID

      130005478019

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Local instabilities in magnetized rotational flows: A short-wavelength approach2014

    • Author(s)
      Oleg N. Kirillov, Frank Stefani, Yasuhide Fukumoto
    • Journal Title

      Journal of Fluid Mechanics

      Volume: 760 Pages: 591-633

    • DOI

      10.1017/jfm.2014.614

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Local stability analysis of azimuthal magnetorotational instability of ideal MHD flows2014

    • Author(s)
      Rong Zou, Yasuhide Fukumoto
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2014 Issue: 11 Pages: 113J01-113J01

    • DOI

      10.1093/ptep/ptu139

    • NAID

      120005690813

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Tropomodulin 1 Expression Driven by Nf-Kappab Enhances Breast Cancer Growth2014

    • Author(s)
      Ito-Kureha T, Koshikawa N, Yamamoto M, Semba K, Yamaguchi N, Yamamoto T, Seiki M and Inoue J-I
    • Journal Title

      Cancer Res

      Volume: 75 Pages: 62-72

    • Related Report
      2014 Annual Research Report
  • [Presentation] Turing-type instability in coupled equations of bulk and lateral diffusions2018

    • Author(s)
      Y. Morita
    • Organizer
      ReaDiNet2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Entire solutions to reaction-diffusion equations in a domain of star graph2018

    • Author(s)
      Y. Morita
    • Organizer
      The 43rd Sapporo Symposium on Partial Differential Equations
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Entire solutions of reaction-diffusion equations in multiple semi-infinite intervals with a junction2018

    • Author(s)
      Y. Morita
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Turing-type instability of diffusion equations with mass transport through the boundary2018

    • Author(s)
      Y. Morita
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Entire solutions to a reaction-diffusion equation in a domain of half-lines with a junction2018

    • Author(s)
      Y. Morita
    • Organizer
      Infinite Dimensional and Stochastic Dynamical Systems
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Strong instability of standing waves for nonlinear Schrodinger equations with potential2018

    • Author(s)
      Masahito Ohta
    • Organizer
      Conference on Mathematics of Wave Phenomena, Karlsruhe Institute of Technology, Germany (招待講演)
    • Related Report
      2018 Annual Research Report
  • [Presentation] Strong instability of standing waves for nonlinear Schrodinger equations with inverse power potential2018

    • Author(s)
      Masahito Ohta
    • Organizer
      2018 Taiwan-Japan Workshop on Scattering, Dispersion, Traveling Waves, and Inverse Problems, National Cheng Kung University, Tainan, Taiwan
    • Related Report
      2018 Annual Research Report
  • [Presentation] Remarks on strong instability of standing waves for nonlinear Schrodinger equations2018

    • Author(s)
      Masahito Ohta
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, National Taiwan University, Taipei, Taiwan
    • Related Report
      2018 Annual Research Report
  • [Presentation] On the precise structure of the impulse response for solutions of two-dimensional Liouville type equations2018

    • Author(s)
      Hiroshi Ohtsuka,Tadatsugu Hatori, and Yuichi Yatsuyanagi
    • Organizer
      13th SIAM East Asian Section Conference 2018, June 23, 2018, The University of Tokyo, Tokyo, Japan
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On the impulse response for solutions of two-dimensional Liouville type equations2018

    • Author(s)
      Hiroshi Ohtsuka,Tadatsugu Hatori, and Yuichi Yatsuyanagi
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS93: Recent trends in nonlinear PDEs, July 7, 2018, National Taiwan University, Taipei, Taiwan
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 2次元Liouville型方程式の解のインパルス応答の詳細な構造について2018

    • Author(s)
      大塚浩史,八柳 祐一, 羽鳥尹承
    • Organizer
      日本流体力学会年会, 2018年9月5日,大阪大学基礎工学部,大阪
    • Related Report
      2018 Annual Research Report
  • [Presentation] 平衡点渦系の相関関数とその平均場のインパルス応答について2018

    • Author(s)
      大塚浩史
    • Organizer
      鳥取非線形研究会2018, 2018年12月5日,鳥取
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Turing-type instability of diffusion equations with mass transport through the boundary2018

    • Author(s)
      Yoshihisa Morita
    • Organizer
      The Third International Conference on the Dynamics and Differential Equations: Fundamentals and Developments-In Memory of Professor Jack K. Hale
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Entire solutions to a reaction-diffusion equation in multiple semi-infinite intervals with a junction2018

    • Author(s)
      Yoshihisa Morita
    • Organizer
      International Conference on Nonlinear Analysis and its Applications
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 2次元点渦系平均場方程式の爆発解の挙動について2018

    • Author(s)
      豊田洋平
    • Organizer
      第9回白浜研究集会
    • Related Report
      2016 Annual Research Report
  • [Presentation] Strong instability of standing waves for nonlinear Schrodinger equations with a partial confinement2017

    • Author(s)
      Masahito Ohta
    • Organizer
      Third Workshop on Nonlinear Dispersive Equations IMECC-UNICAMP, Campinas, Brazil
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Strong instability of standing waves for nonlinear Schrodinger equations with a partial confinement2017

    • Author(s)
      太田 雅人
    • Organizer
      日本数学会・2017年度 秋季総合分科会 函数方程式論分科会 山形大学
    • Related Report
      2017 Annual Research Report
  • [Presentation] Strong instability of standing waves for nonlinear Schrodinger equations with a partial confinement2017

    • Author(s)
      Masahito Ohta
    • Organizer
      RIMS Workshop Nonlinear Wave and Dispersive Equations 京都大学
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the asymptotic behavior of the solutions for the linearized biharmonic Liouville-Gel'fand problem in dimension four2017

    • Author(s)
      大塚浩史
    • Organizer
      第8回拡散と移流の数理
    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Invited
  • [Presentation] Dynamical law of weakly interacting fronts in the FitzHugh-Nagumo system2017

    • Author(s)
      Y. Morita
    • Organizer
      International Workshop on Nonlinear Analysis and Reaction-Diffusion Equations
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Weakly interacting fronts and standing waves in the FitzHugh-Nagumo system2017

    • Author(s)
      Y. Morita
    • Organizer
      Equadiff2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Localized patterns in a reaction-diffusion system with mass conservation2017

    • Author(s)
      Y. Morita
    • Organizer
      Equadiff2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dynamical law of weakly interacting fronts in the FitzHugh-Nagumo system2017

    • Author(s)
      Yoshihisa Morita
    • Organizer
      International Workshop on Nonlinear Analysis and Reaction-Diffusion Equations
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Weakly interacting fronts and standing waves in the FitzHugh-Nagumo system2017

    • Author(s)
      Yoshihisa Morita
    • Organizer
      Equadiff2017
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Localized patterns in a reaction-diffusion system with mass conservation2017

    • Author(s)
      Yoshihisa Morita
    • Organizer
      Equadiff2017
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 多種分子化学反応(素過程)を記述する反応拡散系- 再規格化解とその 均質化2017

    • Author(s)
      鈴木貴
    • Organizer
      日本数学会年会
    • Related Report
      2016 Annual Research Report
  • [Presentation] Gierer-Meinhardt 系から得られる非局所項をもつ放物型方程式の解の大 域挙動2017

    • Author(s)
      鈴木貴
    • Organizer
      日本数学会年会
    • Related Report
      2016 Annual Research Report
  • [Presentation] Blow up analysis for mean field equation associated with two intensities2017

    • Author(s)
      豊田洋平
    • Organizer
      2017 秋の偏微分方程式セミナー(Workshop on evolution equations and related topics)
    • Related Report
      2016 Annual Research Report
  • [Presentation] 2次元点渦系平均場方程式の爆発解の挙動について2017

    • Author(s)
      豊田洋平
    • Organizer
      大阪大学微分方程式セミナー
    • Related Report
      2016 Annual Research Report
  • [Presentation] 2D Smoluchowski-Poisson 方程式~subcollapse の衝突条件2016

    • Author(s)
      鈴木貴
    • Organizer
      日本数学会年会
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-18
    • Related Report
      2015 Annual Research Report
  • [Presentation] Morse indices of the solutions to the Liouville-Gel'fand problem with variable coefficients2016

    • Author(s)
      佐藤 友彦,鈴木 貴
    • Organizer
      日本数学会2016年度年会
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-17
    • Related Report
      2015 Annual Research Report
  • [Presentation] `Standing fronts of the FitzHugh-Nagumo system and their interactingdynamics''2016

    • Author(s)
      Y.Morita
    • Organizer
      Workshop on recent development in reaction-diffusion equations
    • Place of Presentation
      National Taiwan University, Taiwan
    • Year and Date
      2016-02-26
    • Related Report
      2015 Annual Research Report
  • [Presentation] Weakly interacting wavefront dynamics in the FitzHugh-Nagumo system2016

    • Author(s)
      森田 善久
    • Organizer
      第33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(福岡県・福岡市)
    • Year and Date
      2016-01-27
    • Related Report
      2015 Annual Research Report
  • [Presentation] Blowup in infinite time for competitive system of chemotaxis2015

    • Author(s)
      T. Suzuki
    • Organizer
      The third Chile-Japan Workshop on Nonlinear PDEs
    • Place of Presentation
      大阪大学(大阪府・豊中市)
    • Year and Date
      2015-12-08
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Stability of standing waves for a system of nonlinear Schrödinger equations with cubic nonlinearity2015

    • Author(s)
      Masahito Ohta
    • Organizer
      Workshop on "Quasilinear and nonlocal nonlinear Schrödinger equations"
    • Place of Presentation
      Wolfgang Pauli Institute Vienna, Austria
    • Year and Date
      2015-10-01
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] 2D Smoluchowski-Poisson equation ~ 無次元爆発の量子化2015

    • Author(s)
      鈴木貴
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      京都産業大学(京都府・京都市)
    • Year and Date
      2015-09-15
    • Related Report
      2015 Annual Research Report
  • [Presentation] Lotka-Volterra系の時空挙動~多種相互作用の熱力学2015

    • Author(s)
      鈴木貴
    • Organizer
      微分方程式セミナー
    • Place of Presentation
      名古屋大学(愛知県・名古屋市)
    • Year and Date
      2015-09-08
    • Related Report
      2015 Annual Research Report
  • [Presentation] Instability of standing waves for a system of nonlinear Schrödinger equations in a degenerate case2015

    • Author(s)
      太田 雅人
    • Organizer
      金沢解析研究会 2015
    • Place of Presentation
      金沢大学サテライト・プラザ(石川県・金沢市)
    • Year and Date
      2015-08-27
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Singular limit and asymptotic behavior of solution to the Cauchy problem of damped extensible beam2015

    • Author(s)
      Shuji Yoshikawa
    • Organizer
      10th ISAAC Congress
    • Place of Presentation
      マカオ大学(中国)
    • Year and Date
      2015-08-07
    • Related Report
      2015 Annual Research Report
  • [Presentation] Stability of standing waves for a system of nonlinear Schrödinger equations with cubic nonlinearity2015

    • Author(s)
      Masahito Ohta
    • Organizer
      The 10th International ISAAC Congress
    • Place of Presentation
      University of Macau, China
    • Year and Date
      2015-08-04
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Stability of standing waves for a system of nonlinear Schrödinger equations in a degenerate case2015

    • Author(s)
      太田 雅人
    • Organizer
      RIMS 共同研究「非線型現象のモデルに潜む未踏査数理構造の探究 –基礎数理と応用の協働–」
    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2015-07-28
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] ``Weakly interacting front dynamics in the FitzHugh-Nagumo system'' Asymptotic Problems: Elliptic and Parabolic Issue2015

    • Author(s)
      Y.Morita
    • Organizer
      Special Session:Propagation phenomena and free boundary problems
    • Place of Presentation
      Vilnius, Lithuania
    • Year and Date
      2015-06-04
    • Related Report
      2015 Annual Research Report
  • [Presentation] Quantized blowup mechanism for 2D Smoluchowski-Poisson equation2015

    • Author(s)
      T. Suzuki
    • Organizer
      PDE seminar
    • Place of Presentation
      Mannheim University, Germany
    • Year and Date
      2015-05-05
    • Related Report
      2015 Annual Research Report
  • [Presentation] トロイダル磁場を受ける非理想方位磁気の短波長安定性解析2015

    • Author(s)
      Zou Rong
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学早稲田キャンパス(東京都・新宿区)
    • Year and Date
      2015-03-22
    • Related Report
      2014 Annual Research Report
  • [Presentation] Extremal boundedness of a variational functional in point vorted mean field theory associated with probaility measures2015

    • Author(s)
      T. Suzuki, R. Takahashi
    • Organizer
      日本数学会年会
    • Place of Presentation
      明治大学 駿河台キャンパス(東京都・千代田区)
    • Year and Date
      2015-03-21
    • Related Report
      2014 Annual Research Report
  • [Presentation] 2D Smoluchowski-Poisson equation: quantized blowup in infinite time2015

    • Author(s)
      T. Suzuki
    • Organizer
      Mini-Workshoop on Mean Field Theories
    • Place of Presentation
      大阪大学基礎工学研究科(大阪府・豊中市)
    • Year and Date
      2015-03-18
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 関数不等式と変分解析:非コンパクト性を巡って2015

    • Author(s)
      石渡通徳
    • Organizer
      RIMS 共同研究「実解析及び変分解析を用いた関数不等式に付随する偏微分方程式の研究」
    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2015-03-12
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] On the convergence of the classical Jacobi method2015

    • Author(s)
      土屋卓也
    • Organizer
      シンポジウム「精度保証付き数値計算の最近の展開」
    • Place of Presentation
      北九州市国際会議場(福岡県・北九州市)
    • Year and Date
      2015-03-09
    • Related Report
      2014 Annual Research Report
  • [Presentation] 三角形要素上の関数補間とその誤差について2015

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      2015年研究部会連合発表会
    • Place of Presentation
      明治大学中野キャンパス(東京都・千代田区)
    • Year and Date
      2015-03-07
    • Related Report
      2014 Annual Research Report
  • [Presentation] On the fine behaviors of the eigenvalues of the linearized Gel'fand problem and its applications2015

    • Author(s)
      Hiroshi Ohtsuka
    • Organizer
      2015 NCTS Workshop on Applied Mathematics
    • Place of Presentation
      Tamkang University, New Taipei City, Taiwan
    • Year and Date
      2015-03-05
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] On the critical Hardy-Sobolev inequality and related results2015

    • Author(s)
      石渡通徳
    • Organizer
      第 22 回応用解析研究会シンポジウム
    • Place of Presentation
      サンミ倶楽部(静岡県・熱海市)
    • Year and Date
      2015-03-03
    • Related Report
      2014 Annual Research Report
  • [Presentation] First and Second Hadamard Variational Formulae of the Green Function for General Domain Perturbations2015

    • Author(s)
      Takashi SUZUKI, Takuya TSUCHIYA
    • Organizer
      環瀬戸内ワークショップ
    • Place of Presentation
      愛媛大学理学部(愛媛県・松山市)
    • Year and Date
      2015-02-20
    • Related Report
      2014 Annual Research Report
  • [Presentation] 変分的構造をもつ反応拡散系と安定性解析 (連続講演)2015

    • Author(s)
      森田 善久
    • Organizer
      RIMS研究集会「パターン形成と界面ダイナミクスの数理」
    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2015-01-06
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Asymptotic behavior of solutions for semilinear parabolic equations with critical Sobolev exponentl2015

    • Author(s)
      Michinori Ishiwata
    • Organizer
      Closed Seminar on Nonlinear PDE
    • Place of Presentation
      Osaka University, Toyonaka Osaka
    • Year and Date
      2015-01-04
    • Related Report
      2014 Annual Research Report
  • [Presentation] 反応拡散系における保存則とパターン形成2014

    • Author(s)
      森田 善久
    • Organizer
      2014年度応用数学合同研究集会
    • Place of Presentation
      龍谷大学瀬田キャンパス(滋賀県・大津市)
    • Year and Date
      2014-12-19
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Azimuthal magnetorotational instabilities to non-axisymmetric perturbations2014

    • Author(s)
      福本 康秀, Rong Zou
    • Organizer
      67th Annual Meeting of the APS Division of Fluid Dynamcs
    • Place of Presentation
      Moscone (West) Convention Center, San Francisco, CA, USA
    • Year and Date
      2014-11-23
    • Related Report
      2014 Annual Research Report
  • [Presentation] 三角形要素上のLagrange補間の誤差について2014

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      QNAセミナー
    • Place of Presentation
      九州大学数理学府(福岡県・福岡市)
    • Year and Date
      2014-11-18
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Local and global analyses of azimuthal magnetorotational instability2014

    • Author(s)
      福本 康秀, Rong Zou
    • Organizer
      The 8th CREST-SBM International Conference on Mathematical FluidDynamics, Present and Future
    • Place of Presentation
      早稲田大学西早稲田キャンパス、東京都・新宿区
    • Year and Date
      2014-11-14
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Topological magnetohydrodynamics and its application to azimuthal magnetorotational instability2014

    • Author(s)
      福本 康秀, Rong Zou
    • Organizer
      The Seventh International Conference on Sciences and Mathematics Education in Developing Countries
    • Place of Presentation
      The University of Mandalay, Myanmar
    • Year and Date
      2014-11-07
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] On the number of peaks of the eigenfunctions of the linearized Gel'fand problem2014

    • Author(s)
      Hiroshi Ohtsuka
    • Organizer
      京都大学数理解析研究所研究集会「偏微分方程式の解の形状と諸性質」
    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2014-11-06
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 2D normalized Ricci 軌道のコンパクト性 - Hamilton の定理の解析的証明2014

    • Author(s)
      鈴木貴
    • Organizer
      日本数学会総合分科会
    • Place of Presentation
      広島大学 東広島キャンパス(広島県・東広島市)
    • Year and Date
      2014-09-28
    • Related Report
      2014 Annual Research Report
  • [Presentation] Error Estimations of Interpolations on Triangular Elements2014

    • Author(s)
      Kenta Kobayashi,Takuya Tsuchiya
    • Organizer
      SCAN2014
    • Place of Presentation
      University of Worzburg, Germany
    • Year and Date
      2014-09-23
    • Related Report
      2014 Annual Research Report
  • [Presentation] Space-time patterns in biological model: thermodynamics of muti-species2014

    • Author(s)
      T. Suzuki
    • Organizer
      HeKKSaGOn Summer School
    • Place of Presentation
      Gottingen, Germany
    • Year and Date
      2014-09-17
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 方位磁気回転不安定性のモード解析2014

    • Author(s)
      福本 康秀, Rong Zou
    • Organizer
      日本流体力学会年会2014
    • Place of Presentation
      東北大学川内北キャンパス、宮城県・仙台市
    • Year and Date
      2014-09-15
    • Related Report
      2014 Annual Research Report
  • [Presentation] Lotka-Volterra systems - thermodynamics of multi-component models in biology2014

    • Author(s)
      T. Suzuki
    • Organizer
      Analysis and Applications of PDE
    • Place of Presentation
      Mariatrost, Graz, Austria
    • Year and Date
      2014-09-09
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 三角形要素上のLagrange補間の誤差について2014

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      第3回岐阜数理科学研究会
    • Place of Presentation
      飛騨高山まちの博物館(岐阜県・高山市)
    • Year and Date
      2014-09-07
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Short-wavelength analysis of azimuthal magnetorotational instability2014

    • Author(s)
      福本 康秀, Rong Zou
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学春日井キャンパス、愛知県・春日井市
    • Year and Date
      2014-09-07
    • Related Report
      2014 Annual Research Report
  • [Presentation] 三角形要素上のLagrange補間の誤差について2014

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      応用数理学会2014年度年会
    • Place of Presentation
      政策研究大学院大学(東京都・港区)
    • Year and Date
      2014-09-05
    • Related Report
      2014 Annual Research Report
  • [Presentation] On the effect of equivalent norms on the existence of a maximizer for a variational problem involving the Sobolev type embedding in $\R^N$2014

    • Author(s)
      Michinori Ishiwata
    • Organizer
      Sixth Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      Tokyo Institute of Technology, Tokyo Meguro
    • Year and Date
      2014-09-04
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Error estimates for Lagrange interpolations on triangles2014

    • Author(s)
      Kenta Kobayashi,Takuya Tsuchiya
    • Organizer
      The 5th China-Japan-Korea Conference on Numerical Mathematics
    • Place of Presentation
      Ningxia University, Yinchuan, China
    • Year and Date
      2014-08-26
    • Related Report
      2014 Annual Research Report
  • [Presentation] Azimuthal and helical magnetorotational instabilities to non-axisymmetric perturbations2014

    • Author(s)
      福本 康秀
    • Organizer
      International Conference on Turbulent Mixing and Beyond Workshop: Mixing in Rapidly Changing Environment - Probing Matter at the Extremes
    • Place of Presentation
      The Abdus Salam International Centre for Theoretical Physics (ICTP) Trieste, Italy
    • Year and Date
      2014-08-05
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] On the existence and nonexistence of a maximizer for a variational problem for the Sobolev type embedding in $\R^N$2014

    • Author(s)
      Michinori Ishiwata
    • Organizer
      The 9th East Asia Partial Differential Equations Conference
    • Place of Presentation
      Hotel Nikko Nara, Nara, Japan
    • Year and Date
      2014-07-28
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Lotka-Volterra系の時空挙動~多種相互作用の熱力学2014

    • Author(s)
      鈴木貴
    • Organizer
      応用解析研究会
    • Place of Presentation
      早稲田大学西早稲田キャンパス(東京都・新宿区)
    • Year and Date
      2014-07-19
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] On the effect of equivalent constraints on a maximizing problem associated with the Sobolev embedding in $\R^N$2014

    • Author(s)
      Michinori Ishiwata
    • Organizer
      The 10th AIMS Conference on Dynamical Systems Differential Equations and Applications
    • Place of Presentation
      Universidad Autonoma de Madrid, Madrid, Spain
    • Year and Date
      2014-07-11
    • Related Report
      2014 Annual Research Report
  • [Presentation] On the critical Hardy-type inequalities and related variational problems2014

    • Author(s)
      Michinori Ishiwata
    • Organizer
      The 10th AIMS Conference on Dynamical Systems Differential Equations and Applications
    • Place of Presentation
      Universidad Autonoma de Madrid, Madrid, Spain
    • Year and Date
      2014-07-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] Gradient-like property and spectral comparison in a mass-conserved reaction-diffusion system2014

    • Author(s)
      Y.Morita
    • Organizer
      The 10th AIMS Conference on Dynamical Systems, Differential Equations and Appilcations
    • Place of Presentation
      Universidad Autonoma de Madrid, Madrid, Spain
    • Year and Date
      2014-07-07
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] Non-Local Partial Differential Equations for Engineering and Biology: Mathematical Modeling and Alalysis2018

    • Author(s)
      N. Kavallaris, T. Suzuki
    • Total Pages
      300
    • Publisher
      Springer
    • Related Report
      2018 Annual Research Report
  • [Book] Chemotaxis, Reaction, Network2018

    • Author(s)
      Takashi Suzuki
    • Total Pages
      328
    • Publisher
      World Scientific
    • Related Report
      2018 Annual Research Report
  • [Book] Mathematical methods for cancer evolution2017

    • Author(s)
      Takashi Suzuki
    • Total Pages
      144
    • Publisher
      Springer
    • ISBN
      9789811036705
    • Related Report
      2017 Annual Research Report
  • [Book] はじめての数理モデルとシミュレーション2017

    • Author(s)
      鈴木 貴
    • Total Pages
      239
    • Publisher
      羊土社,
    • ISBN
      9784758103619
    • Related Report
      2017 Annual Research Report
  • [Book] 数理医学入門2015

    • Author(s)
      鈴木貴
    • Total Pages
      249
    • Publisher
      共立出版
    • Related Report
      2015 Annual Research Report
  • [Book] 楕円型方程式と近平衡力学系(上)循環するハミルトニアン2015

    • Author(s)
      大塚浩史, 鈴木貴
    • Total Pages
      301
    • Publisher
      朝倉書店
    • Related Report
      2015 Annual Research Report
  • [Book] 楕円型方程式と近平衡力学系(下)自己組織化のポテンシャル2015

    • Author(s)
      大塚浩史, 鈴木貴
    • Total Pages
      311
    • Publisher
      朝倉書店
    • Related Report
      2015 Annual Research Report
  • [Book] 応用数理, 基礎・モデリング・解法2015

    • Author(s)
      太田雅人, 鈴木貴, 小林孝行, 土屋卓也
    • Total Pages
      221
    • Publisher
      培風館
    • Related Report
      2015 Annual Research Report
  • [Book] Mean Field Theories and Dual Variation - Mathematical Structures of the Mesoscopic Model2015

    • Author(s)
      T. Suzuki
    • Total Pages
      444
    • Publisher
      Atlantis Press
    • Related Report
      2015 Annual Research Report
  • [Remarks] 大阪大学大学院 基礎工学研究科システム創成専攻 数理科学領域 鈴木貴研究室

    • URL

      http://www-mmds.sigmath.es.osaka-u.ac.jp/faculty/personal/suzuki/

    • Related Report
      2016 Annual Research Report
  • [Remarks] 大阪大学大学院 基礎工学研究科システム創成専攻数理科学領域 鈴木貴研究室

    • URL

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

    • Related Report
      2015 Annual Research Report 2014 Annual Research Report
  • [Funded Workshop] 基盤A研究合宿2018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] 基盤A報告会2018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] The third Chile-Japan Workshop on Nonlinear PDEs2015

    • Place of Presentation
      大阪大学
    • Year and Date
      2015-12-08
    • Related Report
      2015 Annual Research Report
  • [Funded Workshop] Mini-Workshop on Mean Field Theories2015

    • Place of Presentation
      大阪大学大学院基礎工学研究科
    • Year and Date
      2015-03-18
    • Related Report
      2014 Annual Research Report
  • [Funded Workshop] The 9th East Asia PDE Conference2014

    • Place of Presentation
      奈良市
    • Year and Date
      2014-07-28
    • Related Report
      2014 Annual Research Report

URL: 

Published: 2014-11-20   Modified: 2022-02-07  

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