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Mathematical studies for nonlocal effect on emergence of localized patterns in dissipative systems and applications

Research Project

Project/Area Number 22340022
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionRyukoku University

Principal Investigator

MORITA Yoshihisa  龍谷大学, 理工学部, 教授 (10192783)

Co-Investigator(Kenkyū-buntansha) JIMBO Shuichi  北海道大学, 大学院・理学研究科, 教授 (80201565)
OGAWA Toshiyuki  明治大学, 先端数理科学研究科, 教授 (80211811)
MIYAMOTO Yasuhito  東京大学, 大学院・数理科学研究科, 准教授 (90374743)
MACHIDAQ Masahiko  独立行政法人日本原子力研究開発機構, システム計算科学センター, 研究主幹 (60360434)
Co-Investigator(Renkei-kenkyūsha) ISHIHARA Shuji  東京大学, 大学院・総合文化研究科, 助教 (10401217)
Project Period (FY) 2010-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥12,740,000 (Direct Cost: ¥9,800,000、Indirect Cost: ¥2,940,000)
Fiscal Year 2013: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2012: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2011: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2010: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Keywords散逸系 / 局在パターン / 非局所効果 / 反応拡散系 / パターン形成 / 安定性解析 / 分岐解析 / 非線形偏微分方程式 / 非局所方程式 / FitzHugh-Nagumo方程式 / 分解解析 / ギンツブルク・ランダウ方程式 / 保存性のある反応拡散系 / 線形化固有値問題 / 分岐解 / 解の安定性 / 変分構造 / 分岐理論 / 退化分岐点 / 超伝導の数理モデル / 大域的分岐構造 / 超伝導モデル / 動的パターン
Research Abstract

There are various dissipative systems which are proposed as mathematical models describing pattern formations. In particular, corresponding solutions to pattern formations of reaction-diffusion systems have been much studied. In this research we have shown a new mathematical mechanism for nonlocal effects working in emergence of localized patterns. More specifically, we have studied 2-component reaction-diffusion systems with conservation of mass and proved that the nonlocal effect coming from the mass conservation is connected to the stability of the localized pattern. We also have developed the mathematical method and applied it to other model equations.

Report

(5 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (130 results)

All 2014 2013 2012 2011 2010 Other

All Journal Article (56 results) (of which Peer Reviewed: 51 results,  Open Access: 1 results) Presentation (68 results) (of which Invited: 16 results) Book (5 results) Remarks (1 results)

  • [Journal Article] Planar standing wavefronts in the FitzHugh-Nagumo equations2014

    • Author(s)
      C N Chen, S Y Kung, Y Morita
    • Journal Title

      SIAM Math.Anal

      Volume: Vol.46 Pages: 657-690

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Structure of the positive solutions for supercritical elliptic equations in a ball2014

    • Author(s)
      Y Miyamoto
    • Journal Title

      Journal de Mathematiques Pures et Appliquees

      Volume: 102 Issue: 4 Pages: 672-701

    • DOI

      10.1016/j.matpur.2014.02.002

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum phases in p-orbital degenerated attractive 1D fermionic optical lattices2014

    • Author(s)
      K Kobayashi, Y Ota, M Okumura, S Yamada, M Machida
    • Journal Title

      Physical Review A

      Volume: Vol.89 Issue: 2 Pages: 23625-23625

    • DOI

      10.1103/physreva.89.023625

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Planar standing wavefronts in the FitzHugh-Nagumo equations2014

    • Author(s)
      C.-N. Chen, S.-Y. Kung, and Y. Morita
    • Journal Title

      SIAM Math. Anal.

      Volume: 46 Issue: 1 Pages: 657-690

    • DOI

      10.1137/130907793

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Classification of bifurcation diagrams for elliptic equations with exponential growth in a ball2014

    • Author(s)
      Y. Miyamoto
    • Journal Title

      Annali di Matematica Pura ed Applicata

      Volume: 未定

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lyapunov function and spectrum comparison for a reaction-diffusion system with mass conservation2013

    • Author(s)
      S Jimbo, Y Morita
    • Journal Title

      Journal of Differential Equations

      Volume: Vol.255 Issue: 7 Pages: 1657-1683

    • DOI

      10.1016/j.jde.2013.05.021

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Hadamard variation for electromagnetic frequencies, Geometric Properties for Parabolic and Elliptic2013

    • Author(s)
      S. Jimbo
    • Journal Title

      PDE's, INdAM series

      Volume: Vol.2 Pages: 179-200

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pattern formation in reverse smouldering combustion : A homogenization2013

    • Author(s)
      E Ijioma, A Muntean, T Ogawa
    • Journal Title

      Combution Theory and Modelling

      Volume: Vol.17 Issue: 2 Pages: 185-223

    • DOI

      10.1080/13647830.2012.734860

    • Related Report
      2013 Annual Research Report 2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Feedback Stabilization of Non-uniform Spatial Pattern in Reaction-Diffusion Systems2013

    • Author(s)
      K Kashima, T Ogawa, T Sakurai
    • Journal Title

      Proceedings of American Control Conference

      Pages: 3759-3764

    • URL

      http://www.proceedings.com/19080.html

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Monotonicity of the first eigenvalue and the global bifurcation diagram for the branch of interior peak solutions2013

    • Author(s)
      Y. Miyamoto
    • Journal Title

      Journal of Differential Equations

      Volume: 254 Issue: 2 Pages: 342-367

    • DOI

      10.1016/j.jde.2012.08.001

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A planar convex domain with many isolated "hot spots" on the boundary2013

    • Author(s)
      M Miyamoto
    • Journal Title

      Japan Journal of Industrial applied Mathematics

      Volume: Vol.30 Issue: 1 Pages: 145-164

    • DOI

      10.1007/s13160-012-0091-z

    • NAID

      10031155726

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Surface and vortex bound states in topological superconductors2013

    • Author(s)
      Y Nagai, H Nakamura, M Machida
    • Journal Title

      Physica C

      Volume: Vol.494 Pages: 17-19

    • DOI

      10.1016/j.physc.2013.04.018

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of collective excitation for multi band superconductor : Frustrated spin model approach2013

    • Author(s)
      K Kobayashi, Y Ota, M Machida
    • Journal Title

      Physica C

      Volume: Vol.494 Pages: 13-16

    • DOI

      10.1016/j.physc.2013.04.057

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Massless collective excitations in frustrated multi-band superconductors2013

    • Author(s)
      K. Kobayashi, M. Machida, Y. Ota, F. Nori
    • Journal Title

      Phys. Rev. B

      Volume: 88 Issue: 22 Pages: 2245161-5

    • DOI

      10.1103/physrevb.88.224516

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantum phases in intrinsic Josephson junctions : Quantum magnetism analogy2013

    • Author(s)
      M Machida, K Kobayashi, T Koyama
    • Journal Title

      Physica C

      Volume: Vol.491 Pages: 44-46

    • DOI

      10.1016/j.physc.2013.02.004

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] The mechanical anisotropy in a tissue promotes ordering in hexagonal cell packing2013

    • Author(s)
      K Sugimura, S Ishihara
    • Journal Title

      Development

      Volume: Vol.140 Issue: 19 Pages: 4091-4101

    • DOI

      10.1242/dev.094060

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Comparative study of non-invasive force and stress inference in tissue2013

    • Author(s)
      S Ishihara, K Sugimura, S J Cox I. Bonnet, Y Bellaïche, F Graner
    • Journal Title

      Eur. Phys. J. E

      Volume: Vo.36:45 Issue: 4 Pages: 22-24

    • DOI

      10.1140/epje/i2013-13045-8

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Feedback Stabilization of Non-uniform Spatial Pattern in Reaction-Diffusion Systems2013

    • Author(s)
      K.Kashima, T.Ogawa and T.Sakurai
    • Journal Title

      Proceedings of American Control Conference

      Volume: 0 Pages: 3759-3764

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hadamard variation for electromagnetic frequencies2013

    • Author(s)
      S. Jimbo
    • Journal Title

      Geometric Properties for Parabolic and Elliptic PDE's, INdAM series

      Volume: 2 Pages: 179-200

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 粘土鉱物とゼオライトにおけるセシウムの吸着挙動:第一原理計算から見るその微視的機構2013

    • Author(s)
      奥村雅彦
    • Journal Title

      表面科学

      Volume: 34 Pages: 135-142

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mechanism of Strong Affinity of Clay Minerals to Radioactive Cesium: First-Principles Calculation Study for Adsorption of Cesium at Frayed Edge Sites in Muscovite2013

    • Author(s)
      M.Okumura
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 82

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Observation of a pressure-induced As-As hybridization associated with a change in the electronic state of Fe in the tetragonal phase of EuFe2As22013

    • Author(s)
      H. Kobayashi
    • Journal Title

      Journal of Physics: Condensed Matter

      Volume: 25

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] First-Principles Calculation Study for Mechanism of Cation Adsorption Selectivity in Zeolites : A Guideline for Effective Removal of Radioactive Cesium2013

    • Author(s)
      H. Nakamura
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 82

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonplanar traveling waves of a bistable reaction-diffusion equation in the multi-dimensional space2012

    • Author(s)
      Y Morita
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B35 Pages: 1-8

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu-j.html

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spectrum comparison for conserved reaction-diffusion system with a variational property Journal of Applied2012

    • Author(s)
      Y Morita
    • Journal Title

      Analysis and Computation

      Volume: Vol.2 Pages: 57-71

    • URL

      http://jaac-online.com/index.php/jaac/issue/view/3/showToc

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] 超伝導のギンツブルク・ランダウ方程式とその解について2012

    • Author(s)
      森田善久
    • Journal Title

      数理解析研究所講究録

      Volume: 1776巻 Pages: 158-162

    • URL

      http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/171754/1/1776-14.pdf

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
  • [Journal Article] A non-destructive method for damagedetection in steel-concrete structures based on finite eigendata2012

    • Author(s)
      S Jimbo
    • Journal Title

      Inverse Problems in Science and Engineering

      Volume: Vol.20 Issue: 2 Pages: 233-270

    • DOI

      10.1080/17415977.2011.605884

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Oscillatory dynamics in a reaction-diffusion system in the presence of 0 : 1:2 resonance2012

    • Author(s)
      T Ogawa
    • Journal Title

      Networks and Heterogeneous Media

      Volume: Vol.7 Issue: 4 Pages: 893-926

    • DOI

      10.3934/nhm.2012.7.893

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic transversality and symmetry breaking bifurcation from boundary concentrating solutions2012

    • Author(s)
      Yasuhito Miyamoto
    • Journal Title

      Annales de l'Iinstitut Henri Poincare, Analyse Non Lineaire

      Volume: 29 Issue: 1 Pages: 59-81

    • DOI

      10.1016/j.anihpc.2011.09.003

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Electromagnetic Wave Emission from Intrinsic Josephson Junction Stacks : A Review of Theory and Simulation2012

    • Author(s)
      M Machida
    • Journal Title

      Journal of Physics : Conference Series

      Volume: Vol.393 Pages: 012013-012013

    • DOI

      10.1088/1742-6596/393/1/012013

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bayesian inference of force dynamics during morphogenesis2012

    • Author(s)
      S Ishihara, K Sugimura
    • Journal Title

      Journal of Theoretical Biology

      Volume: 313 Pages: 201-211

    • DOI

      10.1016/j.jtbi.2012.08.017

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] A non destructive method for damage detection in steel-concrete structures based on finite eigendata2012

    • Author(s)
      S. Jimbo
    • Journal Title

      Inverse Problems in Science and Engineering

      Volume: 20 Pages: 233-270

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Oscillatory dynamics in a reaction-diffusion system in the presence of 0:1:2 resonance2012

    • Author(s)
      T. Ogawa
    • Journal Title

      Networks and Heterogeneous Media

      Volume: 7 Pages: 893-926

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] パターン形成の分岐解析(1)2012

    • Author(s)
      小川知之
    • Journal Title

      学会誌「応用数理」

      Volume: 22 Pages: 45-50

    • Related Report
      2012 Annual Research Report
  • [Journal Article] パターン形成の分岐解析(2)2012

    • Author(s)
      小川知之
    • Journal Title

      学会誌「応用数理」

      Volume: 22 Pages: 54-59

    • NAID

      10031083172

    • Related Report
      2012 Annual Research Report
  • [Journal Article] パターン形成の分岐解析(3)2012

    • Author(s)
      小川知之
    • Journal Title

      学会誌「応用数理」

      Volume: 22 Pages: 38-43

    • Related Report
      2012 Annual Research Report
  • [Journal Article] パターン形成の分岐解析(4)2012

    • Author(s)
      小川知之
    • Journal Title

      学会誌「応用数理」

      Volume: 22 Pages: 30-35

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Nontrivial Haldane phase of an atomic two-component Fermi gas trapped in a 1d optical lattice2012

    • Author(s)
      H. Kobayashi
    • Journal Title

      Physical Review Letters

      Volume: 109

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spectrum comparison for a conserved reaction-diffusion system with a variational property2012

    • Author(s)
      Y.Morita
    • Journal Title

      Journal of Applied.Analysis and Computation

      Volume: 2 Pages: 57-71

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A non-destructive method for damage detection in steel-concrete structures based on finite eigendata2012

    • Author(s)
      S.Jimbo
    • Journal Title

      Inverse Problems in Science and Engineering

      Volume: 20 Pages: 233-270

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic transversality and symmetry breaking bifurcation from boundary concentrating solutions2012

    • Author(s)
      Y.Miyamoto
    • Journal Title

      Annales de l'Institute Henri Poincare, Analyse Non Lin'eaire

      Volume: 29 Pages: 59-81

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of a boundary spike for the shadow Gierer-Meinhardt system2012

    • Author(s)
      S-I.Ei
    • Journal Title

      Communications on Pure and Applied Analysis

      Volume: 11 Pages: 115-145

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global bifurcation and stable two-phase separation for a phase field model in a disk2011

    • Author(s)
      Yasuhito Miyamoto
    • Journal Title

      Discrete and continuous dynamical systems

      Volume: 30 Issue: 3 Pages: 791-806

    • DOI

      10.3934/dcds.2011.30.791

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Nondegeneracy of the second bifurcating branches for the Chafee-Infante problem on a planar symmetric domain2011

    • Author(s)
      Y Miyamoto
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: Vol.139 Issue: 03 Pages: 975-984

    • DOI

      10.1090/s0002-9939-2010-10616-0

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Orbital Ordering in Low-Moment Ground-State of Parent Compounds in Iron-Based Superconductors2011

    • Author(s)
      M Machida
    • Journal Title

      J.Phys.Soc.Jpn.Suppl

      Volume: Vol.80 Issue: Suppl.B Pages: SB022-SB022

    • DOI

      10.1143/jpsjs.80sb.sb022

    • NAID

      40019137538

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Global bifurcation and stable two-phase separation for a phase field model in a disk2011

    • Author(s)
      Y.Miyamoto
    • Journal Title

      Discrete and Continuous Dynamical Systems

      Volume: 30 Pages: 791-806

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Orbital Ordering in Low-Moment Groimd-State of Parent Compounds in Iron-Based Superconductors2011

    • Author(s)
      M.Machida
    • Journal Title

      J.Phys.Soc.Jpn.Suppl.

      Volume: 80

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nondegeneracy of the second bifurcating branches for the Chafee-Infante problem on a planar symmetric domain2011

    • Author(s)
      Y.Miyamoto
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 139 Pages: 975-984

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stability and bifurcation of nonconstant solutions to a reaction-diffusion system with conservation of a mass2010

    • Author(s)
      Y Morita, T Ogawa
    • Journal Title

      Nonlinearity

      Volume: Vol.23 Issue: 6 Pages: 1387-1411

    • DOI

      10.1088/0951-7715/23/6/007

    • Related Report
      2013 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global branches from the second eigenvalue for a semilinear Neumann problem in a ball2010

    • Author(s)
      Y Miyamoto
    • Journal Title

      Journal of Differential Equations

      Volume: Vol.249 Issue: 8 Pages: 1853-1870

    • DOI

      10.1016/j.jde.2010.07.018

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Theory and Simulation of Electromagnetic Wave Emission from Intrinsic Josephson Junctions2010

    • Author(s)
      M Machida, Y Ota, N Sasa, T Koyama, H Matsumoto
    • Journal Title

      Journal of Physics

      Volume: Vol.248 Pages: 12037-12037

    • DOI

      10.1088/1742-6596/248/1/012037

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Global branches from the second eigellvalue for a semilinear Neumann problem in a ball2010

    • Author(s)
      Y.Miyamoto
    • Journal Title

      Journal of Differential Equations

      Volume: 249 Pages: 1853-1870

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Theory and Simulation of Electromagnetic Wave Emission from Intrinsic Josephson Junctions2010

    • Author(s)
      M.Machida, Y.Ota, N.Sasa, T.Koyama, H..Matsumoto
    • Journal Title

      Journal of Physics

      Volume: Vol.248 Pages: 12037-12037

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Two-dimensionality of electronic structure and strong Fermi surface nesting in highly anisotropic iron-based superconductors2010

    • Author(s)
      M.Machida, H.Nakamura
    • Journal Title

      Physica C

      Volume: Vol.470 Pages: 1002-1006

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phenomenological theory for ±s-wave superconduting states of iron-based superconductors2010

    • Author(s)
      M.Machidarin Y.Nagai, Y.Ota, N.Nakai, H.Nakamura, N.Hayashi
    • Journal Title

      Physics C

      Volume: Vol.470

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Orbital Ordering and Charge Profile Deformation in Iron-based Superconductors

    • Author(s)
      M.Machida
    • Journal Title

      Physica C

      Volume: (掲載確定)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Presentation] A structure of the positive radial solutions for a supercritical Neumann problem in a ball2014

    • Author(s)
      Y Miyamoto
    • Organizer
      2014 International Workshop on Nonlinear PDE and Applications
    • Place of Presentation
      釜山大学, 大韓民国
    • Year and Date
      2014-03-28
    • Related Report
      2013 Final Research Report
  • [Presentation] 指数増大の非線形項を持つdirichlet 問題の正値球対称解の構造について2014

    • Author(s)
      宮本安人
    • Organizer
      日本数学会2014年度年会
    • Place of Presentation
      学習院大学
    • Related Report
      2013 Final Research Report
  • [Presentation] Instability of periodic traveling wave solutions to excitable RD systems2014

    • Author(s)
      T Ogawa
    • Organizer
      RIMS 研究集会「力学系理論の諸分野への応用の新展開」
    • Place of Presentation
      京都大学
    • Related Report
      2013 Final Research Report
  • [Presentation] Instability of periodic traveling wave solutions to excitable RD systems2014

    • Author(s)
      T. Ogawa
    • Organizer
      RIMS研究集会「力学系理論の諸分野への応用の新展開」
    • Place of Presentation
      京都大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 指数増大の非線形項を持つDirichlet問題の正値球対称解の構造について2014

    • Author(s)
      宮本安人
    • Organizer
      日本数学会2014年度年会
    • Place of Presentation
      学習院大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Eigenvalue of Laplacian in a domain with a thin tubular hole2013

    • Author(s)
      神保秀一
    • Organizer
      日本数学会応用数学分科会
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Final Research Report
  • [Presentation] 3種反応拡散系の0 : 1:2ダイナミクスに現れるBogdanov-Takens分岐2013

    • Author(s)
      坂元孝志, 小川知之
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Final Research Report
  • [Presentation] ソボレフ優臨界の非線形項を持つε^2△u-u^p =0 のノイマン問題の正値球対称解の構造について2013

    • Author(s)
      宮本安人
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Final Research Report
  • [Presentation] Spectral comparison and gradient-like property for some reaction-diffusion systems2013

    • Author(s)
      Y Morita
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2013
    • Place of Presentation
      明治大学,中野キャンパス
    • Related Report
      2013 Final Research Report
  • [Presentation] Spectral comparison for Reaction-Diffusion systems2013

    • Author(s)
      Y Morita
    • Organizer
      Equadiff 13
    • Place of Presentation
      Charles University in Parague, Czech Republic
    • Related Report
      2013 Final Research Report
  • [Presentation] Pattern Dynamics in R-D systems assisted by global feedbacks2013

    • Author(s)
      T Ogawa
    • Organizer
      Readilab conference at Carry-le-Rouet"Mathematical Modelling and Analysis in the Life Sciences"
    • Place of Presentation
      Carry-le-Rouet, France
    • Related Report
      2013 Final Research Report
  • [Presentation] SNの赤道上に凝集する解からの対称破壊分岐について2013

    • Author(s)
      宮本安人
    • Organizer
      日本数学会2013年度年会
    • Place of Presentation
      京都大学吉田キャンパス
    • Related Report
      2013 Final Research Report
  • [Presentation] 反応拡散系における大域フィードバックとパターン形成2013

    • Author(s)
      小川知之
    • Organizer
      計測自動制御学会
    • Place of Presentation
      アクロス福岡
    • Related Report
      2013 Final Research Report 2012 Annual Research Report
  • [Presentation] Spectral comparison and gradient-like property for some reaction-diffusion systems2013

    • Author(s)
      Y. Morita
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2013
    • Place of Presentation
      Meiji University Nakano Campus, Japan
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Spectrum Comparison for Reaction-Diffusion systems2013

    • Author(s)
      Y. Morita
    • Organizer
      Equadiff 13
    • Place of Presentation
      Charles University in Prague, Czech Republic
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Eigenvalues of Laplacian in a domain with a thin tubular hole2013

    • Author(s)
      神保秀一
    • Organizer
      日本数学会応用数学分科会
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 3種反応拡散系の0:1:2ダイナミクスに現れるBogdanov-Takens分岐2013

    • Author(s)
      坂元孝志, 小川知之
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 対称性のある 0:1:2モード相互作用ダイナミクス2013

    • Author(s)
      小川知之, 坂元孝志
    • Organizer
      日本流体力学会年会2013
    • Place of Presentation
      東京農工大学 小金井キャンパス
    • Related Report
      2013 Annual Research Report
  • [Presentation] Pattern dynamics in R-D systems assisted by global feedbacks2013

    • Author(s)
      T. Ogawa
    • Organizer
      Readilab conference at Carry-le-Rouet "Mathematical Modelling and Analysis in the Life Sciences"
    • Place of Presentation
      Carry-le-Rouet, France
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] ソボレフ優臨界の非線形項を持つ$\varepsilon^2\Delta-u+u^p=0$のノイ2013

    • Author(s)
      宮本安人
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] ソボレフ超臨界の非線形項を持つ楕円型方程式の正値球対称解の構造について2013

    • Author(s)
      宮本安人
    • Organizer
      日本数学会・2013年度年会
    • Place of Presentation
      京都大学吉田キャンパス
    • Related Report
      2012 Annual Research Report
  • [Presentation] S^Nの赤道上に凝集する解からの対称性破壊分岐について2013

    • Author(s)
      宮本安人
    • Organizer
      日本数学会・2013年度年会
    • Place of Presentation
      京都大学吉田キャンパス
    • Related Report
      2012 Annual Research Report
  • [Presentation] 球領域におけるNeumann問題の内部ピーク解の分岐図式と第1固有値の単調性について2013

    • Author(s)
      宮本安人
    • Organizer
      日本数学会・2013年度年会
    • Place of Presentation
      京都大学吉田キャンパス
    • Related Report
      2012 Annual Research Report
  • [Presentation] 境界に凝集する解からの対称性破壊分岐について2012

    • Author(s)
      宮本安人
    • Organizer
      日本数学会2012年度年会函数方程式分科会
    • Place of Presentation
      東京理科大学(東京都)
    • Year and Date
      2012-03-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] Standing Wavefronts for the FitzHugh-Nagumo System2012

    • Author(s)
      Y Morita
    • Organizer
      Swiss-Japanese Seminar
    • Place of Presentation
      Institute of Mathematics of the University of Zurich
    • Related Report
      2013 Final Research Report
  • [Presentation] A planar convex domain with many isolated "hot spots" on the boundary2012

    • Author(s)
      宮本安人
    • Organizer
      RIMS 研究集会「偏微分方程式の解の幾何」
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Final Research Report
  • [Presentation] 円板領域上のDirichlet 問題の符号変化解からなる分岐の枝について2012

    • Author(s)
      宮本安人
    • Organizer
      日本数学会2012年度秋季総合分科会
    • Place of Presentation
      九州大学伊都キャンパス
    • Related Report
      2013 Final Research Report
  • [Presentation] 境界に多数のホットスポットがある凸領域の存在について2012

    • Author(s)
      宮本安人
    • Organizer
      日本数学会2012年度秋季総合分科会
    • Place of Presentation
      九州大学伊都キャンパス
    • Related Report
      2013 Final Research Report
  • [Presentation] Reaction-diffusion systems with conservation of mass, Nonlinear Partial Differential Equations2012

    • Author(s)
      Y Morita
    • Organizer
      Dynamical Systems and their Applications
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Final Research Report
  • [Presentation] Domain variation and electromagnetic frequencies, Nonlinear Partial Differential Equations2012

    • Author(s)
      S Jimbo
    • Organizer
      Dynamical Systems and Their Applications
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Final Research Report
  • [Presentation] Triple degeneracy in 3-component reaction-diffusion system2012

    • Author(s)
      T Ogawa
    • Organizer
      Turing Symposium on Morphogenesis
    • Place of Presentation
      Sendai International Center, Sendai
    • Related Report
      2013 Final Research Report 2012 Annual Research Report
  • [Presentation] Electromagnetic Wave Emission from Intrinsic Josephson Junction Stacks : A Review of Theory and Simulation2012

    • Author(s)
      M Machida
    • Organizer
      International Cnference Dubna-Nano2012
    • Place of Presentation
      Dubna, Russia
    • Related Report
      2013 Final Research Report
  • [Presentation] Gradient-like property of a reaction-diffusion system with mass conservation2012

    • Author(s)
      Y Morita
    • Organizer
      The 9th AIMS Conference on Dynamical Systems and Applications
    • Place of Presentation
      Orland, Florida, USA
    • Related Report
      2013 Final Research Report
  • [Presentation] Stable patterns and Morse index one solutions2012

    • Author(s)
      Y Miyamoto
    • Organizer
      The 9th AIMS Conference on Dynamical Systems and Applications
    • Place of Presentation
      Orland, Florida, USA
    • Related Report
      2013 Final Research Report
  • [Presentation] Quantum Phases in Intrinsic Josephson Junctions; Quantum Magnetism Analogy2012

    • Author(s)
      M Machida
    • Organizer
      The 8th International Symposium on Intrinsic Josephson Effects and Plasma Oscillations in High-Tc Superconductors
    • Place of Presentation
      Cesme, Turkey
    • Related Report
      2013 Final Research Report
  • [Presentation] 境界に凝集する解からの対称性破壊分岐について2012

    • Author(s)
      宮本安人
    • Organizer
      日本数学会2012年度年会函数方程式分科会
    • Place of Presentation
      東京理科大学
    • Related Report
      2013 Final Research Report
  • [Presentation] Standing Wavefronts for the FitzHugh-Nagumo System2012

    • Author(s)
      Y. Morita
    • Organizer
      Swiss-Japanese Seminar
    • Place of Presentation
      Institute of Mathematics of the University of Zurich,
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Reaction-diffusion systems with conservation of mass2012

    • Author(s)
      Y. Morita
    • Organizer
      Nonlinear Partial Differential Equations, Dynamical Systems and their Applications
    • Place of Presentation
      RIMS, Kyoto University
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Planar standing front waves of the FitzHugh-Nagumo system2012

    • Author(s)
      Y. Morita
    • Organizer
      The 9th AIMS Conference on Dynamical Systems and Applications
    • Place of Presentation
      Orlando, Florida, USA
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Gradient-like property of a reaction-diffusion system with mass conservation2012

    • Author(s)
      Y. Morita
    • Organizer
      The 9th AIMS Conference on Dynamical Systems and Applications
    • Place of Presentation
      Orlando, Florida, USA
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Domain variation and electromagnetic frequencies2012

    • Author(s)
      S. Jimbo
    • Organizer
      Nonlinear Partial Differential Equations, Dynamical Systems adn Their Applications
    • Place of Presentation
      RIMS, Kyoto Univeristy
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Quantum Phases in Intrinsic Jseophson Junctions; Quantum Magnetism Analogy2012

    • Author(s)
      M. Machida
    • Organizer
      The 8th International Symposium on Intrinsic Josephson Effects and Plasma Oscillations in High-Tc Superconductors
    • Place of Presentation
      Cesme, Turkey,
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Electromagnetic Wave Emission from Intrinsic Josephson Junction Stacks: A Review of Theory and Simulation2012

    • Author(s)
      M. Machida
    • Organizer
      International Conference Dubna-Nano2012
    • Place of Presentation
      Dubna, Russia
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] A planar convex domain with many isolated “hot spots” on the boundary2012

    • Author(s)
      宮本安人
    • Organizer
      RIMS研究集会「スペクトル・散乱理論とその周辺」
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] A planar convex domain with many isolated "hot spots" on the boundary2012

    • Author(s)
      宮本安人
    • Organizer
      RIMS研究集会「偏微分方程式の解の幾何」
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 円板領域上のDirichlet問題の符号変化解からなる分岐の枝について2012

    • Author(s)
      宮本安人
    • Organizer
      日本数学会・2012年度秋季総合分科会
    • Place of Presentation
      九州大学伊都キャンパス
    • Related Report
      2012 Annual Research Report
  • [Presentation] 境界に多数のホットスポットがある凸領域の存在について2012

    • Author(s)
      宮本安人
    • Organizer
      日本数学会・2012年度秋季総合分科会
    • Place of Presentation
      九州大学伊都キャンパス
    • Related Report
      2012 Annual Research Report
  • [Presentation] Stable patterns and Morse index one solutions2012

    • Author(s)
      Y. Miyamoto
    • Organizer
      The 9th AIMS Conference on Dynamical Systems and Applications
    • Place of Presentation
      Orlando, Florida, USA
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Structure of the positive solutions for supercritical elliptic equations in a ball2012

    • Author(s)
      宮本安人
    • Organizer
      RIMS研究集会「幾何学的偏微分方程式に対する保存則と正則性特異性の研究」
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 反応拡散系における3重臨界点とそのまわりでのダイナミクス2011

    • Author(s)
      奥田孝志
    • Organizer
      日本数学会秋季総合分科会応用数学分科会
    • Place of Presentation
      信州大学(長野県)
    • Year and Date
      2011-09-30
    • Related Report
      2011 Annual Research Report
  • [Presentation] 円板領域上のフェーズフィールドモデルの安定解の形状と大域的分岐構造について2011

    • Author(s)
      宮本安人
    • Organizer
      日本数学会秋季総合分科会函数方程式分科会
    • Place of Presentation
      信州大学(長野県)
    • Year and Date
      2011-09-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Stable patterns and solutions with Morse index one2011

    • Author(s)
      Y.Miyamoto
    • Organizer
      4th MSJ-SI, Nonlinear dynamics in Partial Differential Equations
    • Place of Presentation
      九州大学医学部百年講堂(福岡県)(招待講演)
    • Year and Date
      2011-09-12
    • Related Report
      2011 Annual Research Report
  • [Presentation] Triply degenerate interactions in 3-component reaction-diffusion system2011

    • Author(s)
      T.Ogawa
    • Organizer
      One Forum, Two Cities : Aspect of Nonlinear PDEs Conference
    • Place of Presentation
      National Taiwan University, Taiwan(招待講演)
    • Year and Date
      2011-08-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] Domain variation and electromagnetic frequencies2011

    • Author(s)
      S.Jimbo
    • Organizer
      INdAM Workshop, Geometry of solutions to Parabolic and Elliptic PDEs
    • Place of Presentation
      Cortona, Italy(招待講演)
    • Year and Date
      2011-06-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] Nonradial maximizers for a H'enon type problem and symmetry breaking bifurcations for a Liouville-Gel'fand problem with a vanishing coefficient2011

    • Author(s)
      Y.Miyamoto
    • Organizer
      INdAM Workshop, Geometry of solutions to Parabolic and Elliptic PDEs
    • Place of Presentation
      Cortona, Italy(招待講演)
    • Year and Date
      2011-06-23
    • Related Report
      2011 Annual Research Report
  • [Presentation] Triply degenerate interactions in 3-component reaction diffusion system, One Forum, Two cities : Aspect of Nonlinear PDEs Conference2011

    • Author(s)
      T Ogawa
    • Organizer
      Taida Institute for Mathematical Sciences, National Taiwan University, Taiwan
    • Place of Presentation
      Taida Institute for Mathematical Sciences, National Taiwan University, Taiwan
    • Related Report
      2013 Final Research Report
  • [Presentation] Nonradial maximizers for a H'enon type problem and symmetry breaking bifurcations for a Liouville-Gel'fand problem with a vanishing coefficient2011

    • Author(s)
      Y Miyamoto
    • Organizer
      INdAM Workshop, Geometry of solutions to Parabolic and Elliptic PDEs
    • Place of Presentation
      Cortona, Italy
    • Related Report
      2013 Final Research Report
  • [Presentation] Domain variation and electromagnetic frequencies2011

    • Author(s)
      S Jimbo
    • Organizer
      INdAM Workshop, Geometry of solutions to Parabolic and Elliptic PDEs
    • Place of Presentation
      Cortona, Italy
    • Related Report
      2013 Final Research Report
  • [Presentation] 2次元対称領域におけるChafee-Infante問題の分岐解の非退化性について2010

    • Author(s)
      宮本安人
    • Organizer
      日本数学会 秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] Stable patterns and solutions with Morse index one2010

    • Author(s)
      宮本安人
    • Organizer
      第35回偏微分方程式札幌シンポジウム
    • Place of Presentation
      Dresden University of Technology, Germany
    • Year and Date
      2010-08-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] Theory and Simulation of Electromagnetic Wave Emission from Intrinsic Josephson Junctions2010

    • Author(s)
      M.Machida, N.Sasa, Y.Ota, T.Koyama, H.Matsumoto
    • Organizer
      Dubna-Nano2010
    • Place of Presentation
      Dubna, Russia
    • Year and Date
      2010-07-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Rotating and standing waves on sphere2010

    • Author(s)
      T.Ogawa
    • Organizer
      The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Dresden University of Technology, Germany
    • Year and Date
      2010-05-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] Stability and bifurcation of solutions to a reaction-diffusion system with conservation of a mass2010

    • Author(s)
      Y.Morita
    • Organizer
      The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Dresden University of Technology, Germany
    • Year and Date
      2010-05-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] Singular perturbation of domains and the characterization of the behavior of the eigenvalues in several elliptic operators2010

    • Author(s)
      S.Jimbo
    • Organizer
      2010 NCTS workshop on Calculus of Variation and related topics
    • Place of Presentation
      National Tsing Hua University, Taiwan
    • Year and Date
      2010-05-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] Analytical Modeling of Electromagnetic Wave Emission from Single Josephson Junctions and In-phase Resonant IJJ2010

    • Author(s)
      M.Machida, N.Sasa, Y.Ota, T.Koyama, H.Matsumoto
    • Organizer
      7th International Symposium on Intrinsic Josephson Effects and Plasma Oscillations in High-Tc Superconductors
    • Place of Presentation
      Hirosaki, Japan
    • Year and Date
      2010-05-01
    • Related Report
      2010 Annual Research Report
  • [Presentation] 2 次元対称領域におけるChafee-Infante 問題の分岐解の非退化性について2010

    • Author(s)
      宮本安人
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Related Report
      2013 Final Research Report
  • [Presentation] Stability and bifurcation of solutions to a reaction-diffusion system with conservation of mass2010

    • Author(s)
      Y Morita
    • Organizer
      The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Dresden University of Technology, Germany
    • Related Report
      2013 Final Research Report
  • [Presentation] A structure of the positive radial solutions for a supercritical Neumann problem in a ball

    • Author(s)
      Y. Miyamoto
    • Organizer
      2014 International Workshop on Nonlinear PDE and Applications
    • Place of Presentation
      釜山大学, 大韓民国
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Book] 生物リズムと力学系2011

    • Author(s)
      郡 宏, 森田善久
    • Total Pages
      192
    • Publisher
      共立出版
    • Related Report
      2013 Final Research Report
  • [Book] 生物リズムと力学系2011

    • Author(s)
      郡宏
    • Total Pages
      192
    • Publisher
      共立出版
    • Related Report
      2011 Annual Research Report
  • [Book] 位相空間2010

    • Author(s)
      神保秀一,本多尚文
    • Total Pages
      230
    • Publisher
      数学書房
    • Related Report
      2013 Final Research Report
  • [Book] 位相空間2010

    • Author(s)
      神保秀一、本多尚文
    • Total Pages
      230
    • Publisher
      数学書房
    • Related Report
      2010 Annual Research Report
  • [Book] 非線形現象と微分方程式パターンダイナミクスの分岐解析2010

    • Author(s)
      小川知之
    • Total Pages
      100
    • Publisher
      サイエンス社
    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.math.ryukoku.ac.jp/~morita/index.html

    • Related Report
      2013 Final Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

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