Nakashima Kimie 中島主恵

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NAKASHIMA Kimie 中島主恵

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Researcher Number	10318800
Other IDs
External Links
Affiliation (Current)	2025: 東京海洋大学, 学術研究院, 教授
Affiliation (based on the past Project Information) *help	2019 – 2023: 東京海洋大学, 学術研究院, 教授 2018: 東京海洋大学, 学術研究院, 准教授 2015: 東京海洋大学, その他部局等, 准教授 2014: 東京海洋大学, 海洋科学部, 准教授 2011 – 2014: 東京海洋大学, 海洋科学技術研究科, 准教授 … More 2008 – 2011: Tokyo University of Marine Science and Technology, 海洋科学部, 准教授 2003 – 2006: 東京海洋大学, 海洋科学部, 助教授 2002: Tokyo Univ. of Fisheries, Associate Professor, 助教授 2001 – 2002: Tokyo University of Fisheries, Associate Professor, 水産学部, 助教授 1999 – 2000: Waseda University, School of Sci. & Eng., Assist. Prof., 理工学部, 助手 Less
Review Section/Research Field	Principal Investigator Global analysis / Basic Section 12020:Mathematical analysis-related / Global analysis Except Principal Investigator Global analysis / Global analysis / 解析学
Keywords	Principal Investigator 遷移層 / 特異極限 / 特異摂動問題 / 反応拡散方程式 / スパイク / 反応拡散系 / 遺伝子頻度 / 非線型反応拡散方程式系 / 非線形反応拡散系 / モース指数 … More / 界面 / 界面方程式 / 非線型拡散系 / 特異摂動法 / 空間不均一 / 解の大域的分岐構造 / 国際情報交換（アメリカ・中国・フランス） / 特異現象 / 安定性 / 国際研究者交流（フランス） / 国際研究者交流（アメリカ） / 国際研究者交流（中国） / 積分項 / 非線型反応拡散方程式 / 空間非一様 / 非線形反応拡散方程式 / シャドウシステム / 関数方程式論 / Allen-Cahn方程式 / 非線形拡散系 / 写像度 / 変分法 / 非線形反応拡散方程式系 / 微分方程式 / 空間非一様性 / 反応拡散方程式系 / 非線形現象 / 双安定型方程式系 / 自由境界問題 / motion of interface / generation of interface / boundary layer / clustering layer / 界面(interface) / 非線型拡散方程式系 / 非線型現象 … More Except Principal Investigator 正値定常解 / 反応拡散方程式 / 数理生態学 / 安定性 / 非線形拡散 / 非線形現象 / 反応拡散 / cross-diffusion / Hamiltonian systems / variational problems / ハミルトン系 / 非線形楕円型方程式 / 変分問題 / stability / Lotka-Volterra type / reaction-diffusion equation / 定常解 / 分岐 / Lotka-Volterra型 / 非線型楕円型方程式 / 大域解 / 自由境界問題 / Morse index / prey-predator model / steady-state solution / spike / internal transition layer / quasilinear diffusion / reaction-diffusion / prey-predator / Morse指数 / prey-pradatorモデル / スパイク / 内部遷移層 / 準線形拡散 / potentials / Marchenko equation / Schrodinger equation / inverse problem / inverse scattering problem / energy dependent scattering / 生物個体数 / モデル方程式 / 周期軌道 / カオス / Marchenkoの方程式 / 非線形問題 / クライン・ゴードン方程式 / シュレディンガー方程式 / マルチェンコ方程式 / 再構成法 / 移流拡散方程式 / ポテンシャル / Marchenko方程式 / Schrodinger方程式 / 逆問題 / 逆散乱問題 / エネルギー依存散乱 / Singular Perturbation / Nonlinear Differential Equations / Variational Problems / singular perturbation / nonlinear elliptic equation / critical point theory / 特異摂動問題 / 非線型微分方程式 / positive stationary solution / global solution / nonlinear diffusion / 解の多重性 / Shigesadaモデル / 大域的存在 / elliptic equatims / p-Laplacian / bifurcation / positive steady state / 強最大値原理 / Lotka-Volterraモデル / 比較定理 / Lotka-volterra型 / p-ラプラシアン / 非局所問題 / 大域的漸近安定性 / 漸近挙動 / ロジスティック方程式 / 非局所項 / ヒドラ頭部再生モデル / 放物型偏微分方程式 / 空間の非均一性 / 曲線の変形・運動 / 楕円形偏微分方程式 / 運動神経軸索配置 / ヒドラ頭部再生実験 / 活性因子ー抑制因子系 / 幾何学的汎函数 / 非等方的非一様場 / 特異摂動解 / 反応拡散方程式系 / 界面の運動 / 曲面の変形 / 自己組織化 / 空間的不均一性 / 曲面・曲線の変形 / 不均一媒体 / パターン形成 / 反応拡散系 / 侵入モデル / 人口モデル / 分理論 / Lotka-Volterra型競合モデル / 分岐理論 / 写像度理論 Less

On some nonlinear reaction diffusion equation arising in population geneticsPrincipal Investigator
- Principal Investigator
  
  中島主恵
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tokyo University of Marine Science and Technology
Stationary problem of spatially inhomogeneous reaction diffusion equationsPrincipal Investigator
- Principal Investigator
  
  Nakashima Kimie
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tokyo University of Marine Science and Technology
Analyses on layers arising in spatially inhomogeneous reaction diffusion equationPrincipal Investigator
- Principal Investigator
  
  Nakashima Kimie
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo University of Marine Science and Technology
Study on reaction-diffusion equations and related free boundary problems
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Theory of Differential Equations Applied to Biological Pattern Formation--from Analysis to Synthesis
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Analysis of Reaction-Diffusion Systems and Related Nonlinear Problems
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Concentration phenomena in spatially inhomogeneous nonlinear reaction-diffusion systemsPrincipal Investigator
- Principal Investigator
  
  NAKASHIMA Kimie
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo University of Marine Science and Technology
Research on the structure of solutions for nonlinear systems of reaction-diffusion equations
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
非線型拡散方程式系に現れる遷移層のダイナミクスの研究Principal Investigator
- Principal Investigator
  
  中島主恵
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo University of Marine Science and Technology
Inverse Problems in Nonlinear Phenomena
- Principal Investigator
  
  KAMIMURA Yutaka
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo University of Marine Science and Technology
  東京水産大学
Research of System of Nonlinear Diffusion Equations and Related Elliptic Differential Equations
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Study of nonlinear differential equations via variational methods
- Principal Investigator
  
  TANAKA Kazunaga
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
非線型拡散方程式における特異極限と界面現象の研究Principal Investigator
- Principal Investigator
  
  中島主恵
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  東京水産大学
Analysis of nonlinear diffusion equations and related phase transition problems
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Variational study of nonlinear diffential equations
- Principal Investigator
  
  TANAKA Kazunaga
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Study of nonlinear prabolic systems and related elliptic systems
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Waseda University

[Journal Article] Bifurcation structure of an indefinite nonlinear diffusion problem in population genetics2024
- Author(s)
  Kimie Nakashima and Tohru Tsujikawa
- Journal Title
  
  Journal of Differential Equation
  
  Volume: 391 Pages: 220-245
- DOI
  10.1016/j.jde.2024.01.037
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03369, KAKENHI-PROJECT-22K03378
[Journal Article] Indefinite nonlinear diffusion problem in population genetics2020
- Author(s)
  Nakashima Kimie
- Journal Title
  
  Discrete & Continuous Dynamical Systems - A
  
  Volume: 40 Issue: 6 Pages: 3837-3855
- DOI
  10.3934/dcds.2020169
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03358
[Journal Article] Nonuniqueness of an indefinite nonlinear diffusion problem in population genetics2020
- Author(s)
  Nakashima Kimie、Su Linlin
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 269 Issue: 6 Pages: 4643-4682
- DOI
  10.1016/j.jde.2020.03.042
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03358
[Journal Article] Multiple existence of indefinite nonlinear diffusion problem in population genetics2020
- Author(s)
  Nakashima Kimie
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 268 Issue: 12 Pages: 7803-7842
- DOI
  10.1016/j.jde.2019.11.082
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03358
[Journal Article] Steady- states of indefinite nonlinear diffusion problems in population genetics2018
- Author(s)
  Kimie nakashima
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 2080 Pages: 124-138
- Data Source
  KAKENHI-PROJECT-18K03358
[Journal Article] The Uniqueness of an indefinite nonlinear diffusion problem in population genetics2018
- Author(s)
  Kimie nakashima
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 264 Issue: 3 Pages: 1946-1983
- DOI
  10.1016/j.jde.2017.10.014
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03358
[Journal Article] Non-local effects in an integro-PDE model from population genetics2015
- Author(s)
  Fang Li, Kimie Nakashima, Wei-Ming Ni
- Journal Title
  
  European Journal of Applied Mathematics,
  
  Volume: 印刷中 Issue: 1 Pages: 1-41
- DOI
  10.1017/s0956792515000601
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540207
[Journal Article] Transition layers for a spatially inhomogeneous Allen-Cahn equation in multi-dimensional domains2012
- Author(s)
  Fang Li and Kimie Nakashima
- Journal Title
  
  Discrete Contin. Dyn. Syst.
  
  Volume: Vol.32 No.4 Pages: 1391-1420
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Transition layers for a spatially inhomogeneous Allen-Cahn equation in multi-dimensional domainsDiscrete and Continuous Dynamical2012
- Author(s)
  Fang Li and Kimie Nakashima
- Journal Title
  
  Systems- Series A (DCDS-A)
  
  Volume: Vol.32 Issue: 4 Pages: 1391-1420
- DOI
  10.3934/dcds.2012.32.1391
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740090, KAKENHI-PROJECT-24540207
[Journal Article] Transition layers for a spatially inhomogeneous Allen-Cahn equation in multi-dimensional domains2012
- Author(s)
  Fang Lin and Kimie Nakashima
- Journal Title
  
  Discrete and Continuous Dyanamical Systems - Series A
  
  Volume: 32 Pages: 1391-1420
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244010
[Journal Article] Transition layers for a spatially inhomogeneous AUen-Cahn equation in multi-dimensional domains2011
- Author(s)
  Fang Li, Kimie Nakashima
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: 32 Pages: 1391-1420
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244010
[Journal Article] Transition layers for a spatially inhomogeneous Allen-Cahn equation in multi-dimensional domains2011
- Author(s)
  Fang Li, Kimie Nakashima
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: 32 Pages: 1391-1420
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740090
[Journal Article] An Indefinite Nonlinear Diffusion Problem in Population Genetics, I : Existence and Limiting Profiles2010
- Author(s)
  Linlin Su, Kimie Nakashima, Wei-Ming Ni
- Journal Title
  
  Discrete and Continuous Dynamical Systems-Series A 27(2010)
  
  Volume: 27 Pages: 617-641
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740090
[Journal Article] An Indefinite Nonlinear Diffusion Problem in Population Genetics I2010
- Author(s)
  Linlin Su, Kimie Nakashima, Wei-MingNi
- Journal Title
  
  Existence and Limiting Profiles,Discrete and Continuous Dynamical Systems - Series A
  
  Volume: 27 Issue: 2 Pages: 617-641
- DOI
  10.3934/dcds.2010.27.617
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740090
[Journal Article] An indefinite nonlinear diffusion problem in population genetics, I : Existence and limiting profiles2010
- Author(s)
  Linlin Su, Kimie Nakashima, Wei-Ming Ni
- Journal Title
  
  Discrete and Continuous Dynamical Systems-Series A
  
  Volume: 27 Pages: 617-641
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244010
[Journal Article] An indefinite diffusion problem in population genetics, I. Existence and limiting profiles2010
- Author(s)
  Kimie Nakashima, Wei-Ming Ni and Linlin Su
- Journal Title
  
  Discrete Contin. Dyn. Syst.
  
  Volume: Vol.27 No.2 Pages: 617-641
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Wei-Ming Ni An Indefinite Nonlinear Diffusion Problem in Population Genetics, I:Existence and Limiting Profiles2010
- Author(s)
  Linlin Su, Kimie Nakashima
- Journal Title
  
  Discrete and Continuous Dynamical Systems-Series A 27
  
  Pages: 617-641
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740090
[Journal Article] Stability from the point of view of diffusion, relaxation and spatial Inhomogeneity2008
- Author(s)
  Fang Li, Kimie Nakashima andWei-Ming Ni
- Journal Title
  
  Discrete and Continuous Dynamical Systems - Series A
  
  Volume: 20 Pages: 259-27
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740090
[Journal Article] Ni Stability from the point of view of diffusion, relaxation andspatial inhomogeneity2008
- Author(s)
  Fang Li, Kimie Nakashima, Wei-Ming.
- Journal Title
  
  Discrete and Continuous Dynamical Systems-Series A 20
  
  Pages: 259-274
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740090
[Journal Article] Stability from the point of view of diffusion, relaxation and spatial inhomogeneity2008
- Author(s)
  Fang Li, Kimie Nakashima and Wei-Ming Ni
- Journal Title
  
  Discrete Contin. Dyn. Syst Vol.20
  
  Pages: 259-274
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Stability from the point of view of diffusion, relaxation and spatial inhomogeneity2008
- Author(s)
  F. Li, K. Nakashima, and W-M. Ni
- Journal Title
  
  Discrete and Continuous Dynamical Systems-Series A 20
  
  Pages: 259-274
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740090
[Journal Article] Generation of interfaces for Lotka-Volterra competition-diffusion system with large interaction rates2007
- Author(s)
  K.Nakashima, T.Wakasa
- Journal Title
  
  Journal of Differential Equations Vol.235,NO.2
  
  Pages: 586-608
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Radial and nonradial steady-states with clustering layers in Allen Cahn equation2007
- Author(s)
  K.Nakashima
- Journal Title
  
  数理研講究録 1528
  
  Pages: 36-59
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] Morse index of layered solutions to the heterogeneous Allen-Cahn equation2007
- Author(s)
  Yihong Du and Kimie Nakashima
- Journal Title
  
  Journal of Differential Equations 238巻
  
  Pages: 87-117
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Morse index of layered solutions to the heterogeneous Allen-Cahn equation2007
- Author(s)
  Yihong Du and Kimie Nakashima
- Journal Title
  
  J. Differential Equations Vol.238
  
  Pages: 87-117
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Generation of interfaces for Lotka-Volterra competition-diffusion system with large interaction rates2007
- Author(s)
  Kimie Nakashima and Tohru Wakasa
- Journal Title
  
  J. Differential Equations Vol.235
  
  Pages: 586-608
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Generation of interfaces for Lotka-Volterra competition-diffusion system with large interaction rates2007
- Author(s)
  Kimie Nakashima and Tohru Wakasa
- Journal Title
  
  Journal of Differential Equations 235巻
  
  Pages: 586-608
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Singular limit of a spatially inhomogeneous Lotka-Volterra cometition-diffusion system2007
- Author(s)
  D.Hilhorst, G.Karali, H.Matano and K.Nakashima
- Journal Title
  
  Communications in Partial Differential Equations 32巻
  
  Pages: 879-933
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Generation and propagation of interface to a competition diffusion system with a large interaction2006
- Author(s)
  K.Nakashima
- Journal Title
  
  数理研講究録 1464
  
  Pages: 145-163
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] Generation and propagation of interface to a Lotka-Volterra competition diffusion system with a large interaction rate2006
- Author(s)
  K.Nakashima
- Journal Title
  
  数理研講究録 1416
  
  Pages: 94-104
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] Steady-states with transition layers and spik es for a bistable reaction-diffusion eauation2006
- Author(s)
  M.Urano, K.Nakashima, Y.Yamada
- Journal Title
  
  Mathematical Approach to Nonlinear Phenomena : Modelling,Analysis and Simulations, GAKUTO Internat.Ser.Math. Sci.Appl. Vol.23
  
  Pages: 267-279
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Transition layers and spikes for a reaction-diffusion equation with bistable nonlinearity2005
- Author(s)
  Michio Urano, Kimie Nakashima, Yoshio Yamada
- Journal Title
  
  Proceedings of AIMS' 5th Internatonal Conference on Dynamical Systems and Differential Equations, June 2004, Pomona, CA (予定)
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Transition layers and spikes for a reaction-diffusion equation with bistable nonlinearity2005
- Author(s)
  Urano Michio, Kimie Nakashima, Yoshio Yamada
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Pages: 861-877
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] Transition layers and spikes for a reaction- diffusion equation with bistable nonlinearity2005
- Author(s)
  Michio Urano, Kimie Nakashima, Yoshio Yamada
- Journal Title
  
  Dynamical Systems and Differential Equations
  
  Pages: 868-877
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Transition layers and spikes for a reaction-diffusion equation with bistable nonlinearity2005
- Author(s)
  浦野道雄, 中島主恵, 山田義雄
- Journal Title
  
  Dynamical Systems and Differential Equations
  
  Pages: 868-877
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Transition layers and spikes for a bistable reaction- diffusion equation2005
- Author(s)
  Michio Urano, Kimie Nakashima, Yoshio Yamada
- Journal Title
  
  Advances in Mathematical Sciences and Applications Vol.15, No.2
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Transition layers and spikes for a bistable reaction- diffusion equation2005
- Author(s)
  Micio Urano, Kimie Nakashima, Yoshio Yamada
- Journal Title
  
  Advances in Mathematical Sciences and Applications Vol.15, No.2
  
  Pages: 683-707
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Transition layers and spikes for a bistable reaction-diffusion equation.2005
- Author(s)
  Urano Michio, Kimie Nakashima, Yoshio Yamada
- Journal Title
  
  Advances in Mathematical Sciences and Applications 15
  
  Pages: 683-707
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] Transition layers and spikes for a bistable reaction-diffusion equation.2005
- Author(s)
  浦野道雄, 中島主恵, 山田義雄
- Journal Title
  
  Advances in Mathematical Sciences and Applications 15巻2号
  
  Pages: 683-707
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Clustering layers and boundary layers in spatially inhomogeneous phase transition problems2003
- Author(s)
  K.Nakashima, K.Tanaka
- Journal Title
  
  Ann.Inst.H.Poincare Anal.Non Lineaire 20
  
  Pages: 107-143
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540216
[Journal Article] Clustering layers and boundary layers in spatially inhomogeneous phase transition problems2003
- Author(s)
  Kimie Nakashima, Kazunaga Tanaka
- Journal Title
  
  Annales de l'Institute Henri Poincare, Analyse Non Lineaire Vol.20, No.1
  
  Pages: 107-143
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Clustering layers and boundary layers in spatially inhomogeneous phase transition problems2003
- Author(s)
  中島主恵, 田中和永
- Journal Title
  
  Annes de l'Institut Henri Poincare, Analyse Non Lineaire 20巻1号
  
  Pages: 107-143
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Multi-layered stationary solutions for a spatially inhomogeneous Allen-Cahn equation2003
- Author(s)
  K.Nakashima
- Journal Title
  
  Journal of Differential Equations 191
  
  Pages: 234-276
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] Multi-layered stationary solutions for a spatially inhomogeneous Allen-Carm equation2003
- Author(s)
  K.Nakashima
- Journal Title
  
  J.Differential Equations 191
  
  Pages: 234-276
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540216
[Journal Article] Multi-layered stationary solutions for a spatially inhomogeneous Allen-Cahn equation2003
- Author(s)
  中島主恵
- Journal Title
  
  Journal of Differential Equations 191巻1号
  
  Pages: 234-276
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Multi-layered stationary solutions for a spatially in homogeneous Allen-Cahn equation2003
- Author(s)
  Kimie Nakashima
- Journal Title
  
  Journal of Differential Equations Vol.191, No.1
  
  Pages: 234-276
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Clustering layers and boundary layers in spatially in homogeneous phase transition problems2003
- Author(s)
  K.Nakashima, K.Tanaka
- Journal Title
  
  Ann.Inst.H.Poincave' Anal.Non Linegire AN20
  
  Pages: 107-143
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] Multi-layered stationary solutions for a spatially inhomogeneous Allen-Cahn equation2002
- Author(s)
  K.Nakashima
- Journal Title
  
  J.Differential Equations 191
  
  Pages: 234-276
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540216
[Journal Article] Transition layers and spikes for a bistable reaction-diffusion equations
- Author(s)
  M.Urano, K.Nakashima, Y.Yamada
- Journal Title
  
  Advances in Mathematical Sciences and Applications 掲載予定
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] Generation and propagation of interface to a competition- diffusion system with very large competition rate
- Author(s)
  Kimie Nakashima
- Journal Title
  
  数理研講究録 (掲載予定)
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] Transition layers for a spatially inhomogeneous Allen-Cahn equation in multi-dimensional domains
- Author(s)
  Fang Li, Kimie Nakashima
- Journal Title
  
  Discrete and Continuous Dynamical Systems-Series A 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740090
[Journal Article] Morse index of layered solution to the heterogeneous Allen-Cahn equation
- Author(s)
  K.Nakashima, Y.Du
- Journal Title
  
  Journal of Differential Equations (印刷中)
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] An Indefinite Nonlinear Diffusion Problem in Population Genetics, I : Existence and Limiting Profiles
- Author(s)
  Linlin Su, Kimie Nakashima, Wei-Ming Ni
- Journal Title
  
  Discrete and Continuous Dynamical Systems-Series A (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740090
[Journal Article] Transition layers for a spatially inhomogeneous Allen-Cahn equation in multi-dimensional domains
- Author(s)
  Fang Li, Kimie Nakashima
- Journal Title
  
  Discrete and Continuous Dynamical Systems-Series A
  
  Volume: (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740090
[Journal Article] Generation of interface to a Lotka-Volterra competition diffusion system with large interaction rate
- Author(s)
  K.Nakashima, T.Wakasa
- Journal Title
  
  Journal of Differential Equations (印刷中)
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] Steady-states with transition layers and spikes for a bistable reaction-diffusion equation
- Author(s)
  M.Urano, K.Nakashima, Y.Yamada
- Journal Title
  
  Gakuto International Series Mathematical Sciences and Applications 掲載予定
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] Generation and propagation of interface to a Lofka-Volterra competition diffusion system with large interaction rate
- Author(s)
  K.Nakashima
- Journal Title
  
  数理研講究録掲載予定
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] Transition layers and spikes for a reaction-diffusion equation with bistable nonlinearity
- Author(s)
  M.Urano, K.Nakashima, Y.Yamada
- Journal Title
  
  Proceedings of the fifth international conference on dynamical systems and differential equations 掲載予定
- Data Source
  KAKENHI-PROJECT-16740090
[Journal Article] Singular Limit of a Spatially Inhomogeneous Lotka-Volterra Competition-Diffusion System
- Author(s)
  D.Hilhorst, G.Karali, H.Matano, K.Nakashima
- Journal Title
  
  Comm. Partial Differential Equations (印刷中)
- Data Source
  KAKENHI-PROJECT-16740090
[Presentation] Uniqueness and Multiplicity of indefinite nonlinear diffusion problem in population genetics2019
- Author(s)
  Kimie Nakashima
- Organizer
  Recent progress on the reaction-diffusion equations arising in biology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03358
[Presentation] Uniqueness of indefinite nonlinear diffusion problem in population genetics2019
- Author(s)
  Kimie Nakashima
- Organizer
  Chemotaxis and Nonlinear　Parabolic Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03358
[Presentation] ある遺伝子頻度のモデルの非定数定常解の一意性と多重度について2019
- Author(s)
  中島主恵
- Organizer
  南大阪応用数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03358
[Presentation] Uniqueness and Multiplicity of Indefinite Nonlinear Diffusion Problem in Population Genetics2019
- Author(s)
  中島主恵
- Organizer
  早稲田大学応用解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03358
[Presentation] Uniqueness and Multiplicity of Indefinite Nonlinear Diffusion Problem2019
- Author(s)
  中島主恵
- Organizer
  「応用解析」研究会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03358
[Presentation] Multiple existence of indefinite nonlinear diffusion problem in population genetics2018
- Author(s)
  中島主恵
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-18K03358
[Presentation] Multiple existence of indefinite nonlinear diffusion problem in population genetics2018
- Author(s)
  Kimie Nakashima
- Organizer
  Critical exponent and nonlinear evolution equation 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03358
[Presentation] ある遺伝子頻度モデルに現れるさまざまな形状の定常解の存在について2018
- Author(s)
  中島主恵
- Organizer
  保存則をもつ偏微分方程式の解の正則性，特異性および漸近挙動の研究
- Invited
- Data Source
  KAKENHI-PROJECT-18K03358
[Presentation] ある遺伝子頻度のモデルの解の一意性について2018
- Author(s)
  中島主恵
- Organizer
  明治非線型数理セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03358
[Presentation] The uniqueness of indefinite nonlinear diffusion problem in populaton genetics2016
- Author(s)
  中島主恵
- Organizer
  九州関数方程式セミナー
- Place of Presentation
  福岡大学セミナーハウス
- Year and Date
  2016-01-08
- Invited
- Data Source
  KAKENHI-PROJECT-24540207
[Presentation] Stability and uniqueness of multi-layered solutions2013
- Author(s)
  Kimie Nakashima
- Organizer
  2013 Xiamen Workshop on Variational Problems and Evolution Equations
- Place of Presentation
  Xiamen China
- Invited
- Data Source
  KAKENHI-PROJECT-24540207
[Presentation] Location of layers for a spatially inhomogeneous balanced bistable equation2010
- Author(s)
  Kimie Nakashima
- Organizer
  非線形解析と可積分系の数理
- Place of Presentation
  龍谷大学
- Year and Date
  2010-11-18
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Transition layers for a spatially inhomogeneous Allen-Cahn equation in multi-dimensional domains2010
- Author(s)
  Kimie Nakashima
- Organizer
  Nonlinear Evolution PDEs and their Equilibrium States
- Place of Presentation
  早稲田大学
- Year and Date
  2010-06-11
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] 非線形解析と可積分系の数理2010
- Author(s)
  Kimie Nakashima
- Organizer
  Location of layers for a spatially inhomogeneous balanced bistable equation
- Place of Presentation
  龍谷大学
- Year and Date
  2010-11-18
- Data Source
  KAKENHI-PROJECT-20740090
[Presentation] Transition layers for a spatially inhomogeneous Allen-Cahn equation in multi-dimensional domains2010
- Author(s)
  Kimie Nakashima
- Organizer
  Nonlinear Evolutionary PDEs and their Equilibrium States
- Place of Presentation
  早稲田大学
- Year and Date
  2010-06-11
- Data Source
  KAKENHI-PROJECT-20740090
[Presentation] Transition layers for a spatially inhomogeneous Allen-Cahn equation in multi-dimensional domains2010
- Author(s)
  Kimie Nakashima
- Organizer
  Nonlinear Evolutionary PDEs and their Equilibrium States
- Place of Presentation
  早稲大学
- Year and Date
  2010-06-11
- Data Source
  KAKENHI-PROJECT-20740090
[Presentation] Location of layers for a spatially inhomogeneous balanced bistable equation2010
- Author(s)
  Kimie Nakashima
- Organizer
  非線形解析と可積分系の数理
- Place of Presentation
  龍谷大学
- Year and Date
  2010-11-18
- Data Source
  KAKENHI-PROJECT-20740090
[Presentation] Transition layers for a spatially inhomogeneous Allen-Cahn equation in multi-dimensional domains2010
- Author(s)
  Kimie Nakashima
- Organizer
  Nonlinear Evolutionary PDEs and theirEquilibrium States
- Place of Presentation
  早稲田大学
- Year and Date
  2010-06-11
- Data Source
  KAKENHI-PROJECT-20740090

1. OTANI Mitsuharu (30119656)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
2. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 8 results

# of Collaborated Products: 3 results
3. YAMADA Yoshio (20111825)

# of Collaborated Projects: 6 results

# of Collaborated Products: 7 results
4. TAKEUCHI Shingo (00333021)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
5. KUTO Kousuke (40386602)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. WAKASA Tohru (20454069)

# of Collaborated Projects: 4 results

# of Collaborated Products: 3 results
7. HIROSE Munemitsu (50287984)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. OHYA Hirokazu (70409647)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. SATO Norihiro (80454023)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. IKEDA Hideo (60115128)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. SHIBATA Tetsutaro (90216010)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. OEDA Kazuhiro (70580364)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. KURATA Kazuhiro (10186489)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. ADACHI Shinji (40339685)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. TAKAGI Izumi (40154744)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. OGAWA Takayoshi (20224107)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. NAGASAWA Takeyuki (70202223)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. YANAGIDA Eiji (80174548)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. UEYAMA Daishin (20304389)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. YAMADA Sumio (90396416)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. TSUTSUMI Masayoshi (70063774)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. YAMAZAKI Masao (20174659)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. ISHIWATA Michinori (30350458)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. KAMIMURA Yutaka (50134854)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. IWASAKI Katsunori (00176538)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. TSUBOI Kenji (50180047)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 西原健二 (60141876)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 郡敏昭 (50063730)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 菱田俊明 (60257243)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. KANEKO Yuki

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Nakashima Kimie 中島 主恵

NAKASHIMA Kimie 中島 主恵

Research Projects

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Co-Researchers

On some nonlinear reaction diffusion equation arising in population geneticsPrincipal Investigator

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Stationary problem of spatially inhomogeneous reaction diffusion equationsPrincipal Investigator

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Analyses on layers arising in spatially inhomogeneous reaction diffusion equationPrincipal Investigator

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Concentration phenomena in spatially inhomogeneous nonlinear reaction-diffusion systemsPrincipal Investigator

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非線型拡散方程式系に現れる遷移層のダイナミクスの研究Principal Investigator

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非線型拡散方程式における特異極限と界面現象の研究Principal Investigator

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Nakashima Kimie 中島主恵

NAKASHIMA Kimie 中島主恵