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Iida Masato  飯田 雅人

ORCIDConnect your ORCID iD *help
… Alternative Names

飯田 雅人  イイダ マサト

MASATO Iida  飯田 雅人

IIDA Masato  飯田 雅人

飯田 正人  イイダ マサト

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Researcher Number 00242264
Other IDs
Affiliation (Current) 2025: 宮崎大学, 工学部, 教授
Affiliation (based on the past Project Information) *help 2020 – 2023: 宮崎大学, 工学部, 教授
2012 – 2018: 宮崎大学, 工学部, 教授
2014 – 2016: 宮崎大学, 工学教育研究部, 教授
2008 – 2010: University of Miyazaki, 工学部, 教授
2007: 岩手大学, 人文社会化学部, 准教授 … More
2006 – 2007: 岩手大学, 人文社会科学部, 准教授
2002 – 2006: 岩手大学, 人文社会科学部, 助教授
2003: Iwate University, Faculty of Education, Ass.Professor, 教育学部, 助教授
1999 – 2001: Iwate University, Faculty of Humanities and Social Sciences, Associate Professor, 教育学部, 助教授
1999: Faculty of Education, Iwate University, Lecturer, 教育学部, 講師
1996 – 1998: 岩手大学, 人文社会科学部, 講師
1997: 岩手大学, 人文社会学部, 講師
1995: 東京工業大学, 大学院・情報理工学研究科, 助手 Less
Review Section/Research Field
Principal Investigator
Global analysis / 解析学 / Global analysis / Mathematical analysis
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Basic Section 12020:Mathematical analysis-related / Geometry / Global analysis / 社会システム工学 / General mathematics (including Probability theory/Statistical mathematics) / Foundations of mathematics/Applied mathematics / Global analysis
Keywords
Principal Investigator
反応拡散系 / 特異極限 / 競争系 / reaction-diffusion system / 漸近解 / 非線形解析 / singular limit / 界面ダイナミクス / 棲み分け / competition system … More / nonlinear diffusion / 非線形拡散 / 非線形現象 / 応用解析 / 関数方程式 / フランス:米国 / 米国 / 国際情報交換 / 特異摂動 / 準線形拡散 / cross-diffusion system / 接合漸近展開法 / 順序保存力学系 / ステファン問題 / 自由境界問題 / 内部遷移層 / アレン・カーン方程式 / 比較原理 / セパラトリクス / 絶滅 / ロトカ・ヴォルテラ方程式 / comparison principle / separatrix / competitive species / invariant manifold / asymptotic expansion / nonlinear boundary condition / chemical reation / energy method / Lyapunov function / asymptotic behavior / chemical reaction / nonlinear baundary condition / reaction diffusion system / parabolic equation … More
Except Principal Investigator
反応拡散系 / 進行波解 / 全域解 / reaction-diffusion system / 特異極限法 / パターン形成 / activator-inhibitor system / 爆発 / 解の爆発 / 半線型楕円型偏微分方程式 / 集中現象 / 安定性 / スパイク解 / 特異摂動 / 特異極限問題 / 特異極限 / パターンダイナミクス / 自由境界問題 / 界面 / パターンの崩壊 / 反応拡散方程式系 / 反応拡散方程式 / 自己相似解 / 特異極限系 / 伝播現象 / blowup / entire solution / traveling wave / 反応拡散 / admissible function of digraph / Connectivities of graph / (Di-)graph / Cheeger constant / Killing field / Metric foliation / Minimal foliation / Foliation / コンパクト葉 / リーマン葉層 / 錐構造 / 錘構造 / 平均曲率ベクトル場 / 許容ベクトル場 / 許容関数 / 有向グラフ / (有向グラフ上の)許容関数 / グラフの連結性 / (有向)グラフ / チーガー定数 / キリング場 / メトリック葉層 / 極小葉層 / 葉層構造 / spike-layered solutions / scattering of spot-like solutions / blow-up of solutions / collapse of patterns / pattern formation / reaction-diffusion systems / 空間的構造 / 領域の境界の曲率 / 軌道の極限集合 / 非常に薄い領域 / 活性因子・抑制因子 / スポット解の散乱現象 / 活性因子,抑制因子 / Generating function / Computer algebra system / Reduce / Chop-sticks / Parallel queues / 母関数 / 数式処理 / REDUCE / 箸ならび / 並列待ち行列 / modeling / free boundary / blowup of solutions / singular limit analysis / stability analysis / nonlinear partial differential equation / 非線型放物型方程式 / スペクトル法 / バクテリヤコロニーモデル / 有限時間爆発 / 歪勾配系 / 興奮-柳制系 / 興奮-抑制系 / モデリング / 自由境界 / 興奮一抑制系 / 安定性解析 / 非線形偏微分方程式 / stability / transition layer / spike-layer solutions / singular perturbation / 活性因子 / 遷移過程 / パターン形式 / 遷移層 / 国際研究者交流(台湾,フランス,アメリカ) / 応用数学 / スパイラル / 反応律速極限 / 急速反応極限 / 解の大域的存在 / 爆発問題 / シミュレーション / 数理医学 / 数値シミュレーション / 相平面解析 / 進行波 / 浸潤 / 非線形現象 / 数理モデル / 走化性モデル / 曲面の運動 / 非一様な媒体 / 曲面・曲線の運動 / 活性因子抑制因子系 / 脂質二層膜の形態変換 / 曲線の運動 / 幾何学的変分問題 / 非一様な媒質 / 活性因子-抑制因子系 / 楕円型 / 非線形 / 偏微分方程式 Less
  • Research Projects

    (21 results)
  • Research Products

    (62 results)
  • Co-Researchers

    (50 People)
  •  Mathematical analysis of pattern dynamics of reaction-diffusion systems and their singular limit problems

    • Principal Investigator
      Ninomiya Hirokazu
    • Project Period (FY)
      2020 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Meiji University
  •  Study on the profiles and dynamics of solutions to reaction-diffusion systems through the asymptotic analysisPrincipal Investigator

    • Principal Investigator
      Iida Masato
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      University of Miyazaki
  •  Pattern dynamics of reaction-diffusion systems and free boundary problems

    • Principal Investigator
      Ninomiya Hirokazu
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Meiji University
  •  A theoretical approach to constructing asymptotic solutions to reaction-diffusion systemsPrincipal Investigator

    • Principal Investigator
      MASATO Iida
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      University of Miyazaki
  •  Classification of nonlinearities of reaction-diffusion systems from a dynamical viewpoint

    • Principal Investigator
      NINOMIYA Hirokazu
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ryukoku University
  •  Construction of reaction-diffusion systems suitable to track interfacial dynamicsPrincipal Investigator

    • Principal Investigator
      IIDA Masato
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      University of Miyazaki
  •  Qualitative Properties of Solutions of Differential Equations Modeling Biological Pattern Formation

    • Principal Investigator
      TAKAGI Izumi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Mathematical analysis for phenomena in the living body and its simulation

    • Principal Investigator
      HOSHINO Hiroki
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Fujita Health University
      Fujita Health University College
  •  The relation between the solutions and the nonlinearities in reaction diffusion systems

    • Principal Investigator
      NINOMIYA Hirokazu
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ryukoku University
  •  The search for the structure which can appear in singular limits of reaction-diffusion systemsPrincipal Investigator

    • Principal Investigator
      IIDA Masato
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Iwate University
  •  特異極限によって反応拡散系と結びつく方程式系の探究Principal Investigator

    • Principal Investigator
      飯田 雅人
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Global analysis
    • Research Institution
      Iwate University
  •  Autonomous Formation of Spatial Structures in Solutions of Parabolic Partial Differential Equations

    • Principal Investigator
      TAKAGI Izumi
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  The study of relations between topological properties and differential geometric properties of foliated structures.

    • Principal Investigator
      OSHIKIRI Gen-ichi
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Iwate University
  •  反応拡散系の特異極限としての界面ダイナミクスPrincipal Investigator

    • Principal Investigator
      飯田 雅人
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Global analysis
    • Research Institution
      Iwate University
  •  Researches on the parallel queues in use the Computer algebra system REDUCE

    • Principal Investigator
      ISHIKAWA Akihiko
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      社会システム工学
    • Research Institution
      IWATE UNIVERSITY
  •  ロトカ・ヴォルテラ方程式における拡散効果の研究Principal Investigator

    • Principal Investigator
      飯田 雅人
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Iwate University
  •  Singularly perturbed solutions of reaction-diffusion systems and concentration phenomena

    • Principal Investigator
      TAKAGI Izumi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      TOHOKU UNIVERSITY
  •  Mathematical studies on spatial and temporal patterns in reaction-diffusion systems

    • Principal Investigator
      INABA Hisashi, 柳田 英二
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tokyo
  •  反応拡散方程式系に対する漸近解析Principal Investigator

    • Principal Investigator
      飯田 雅人
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Iwate University
  •  非線形楕円型方程式に対するPohozaevの恒等式とその応用

    • Principal Investigator
      YANAGIDA Eiji
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  楕円放物型方程式系の非線形境界値問題に関する研究Principal Investigator

    • Principal Investigator
      飯田 雅人
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology

All 2023 2019 2018 2017 2015 2014 2013 2011 2010 2009 2008 2007 2006 2005 Other

All Journal Article Presentation

  • [Journal Article] Cross-diffusion predator?prey model derived from the dichotomy between two behavioral predator states2023

    • Author(s)
      Iida Masato、Faculty of Engineering, University of Miyazaki, 1-1 Gakuen Kibanadai Nishi, Miyazaki, 889-2192, Japan、Izuhara Hirofumi、Kon Ryusuke
    • Journal Title

      Discrete and Continuous Dynamical Systems - B

      Volume: 28 Issue: 12 Pages: 6159-6178

    • DOI

      10.3934/dcdsb.2023098

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03735, KAKENHI-PROJECT-21K03353, KAKENHI-PROJECT-20H01816
  • [Journal Article] A review on reaction?diffusion approximation2018

    • Author(s)
      Iida M., Ninomiya H. and Yamamoto H.
    • Journal Title

      Journal of Elliptic and Parabolic Equations

      Volume: 4 Issue: 2 Pages: 565-600

    • DOI

      10.1007/s41808-018-0029-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16KT0022, KAKENHI-PROJECT-15K04963, KAKENHI-PROJECT-16K13778
  • [Journal Article] Vanishing, moving and immovable interfaces in fast reaction limits2017

    • Author(s)
      M. Iida, H. Monobe, H. Murakawa and H. Ninomiya
    • Journal Title

      Journal of Differential Equations

      Volume: 印刷中 Issue: 5 Pages: 2715-2735

    • DOI

      10.1016/j.jde.2017.04.009

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-16J07001, KAKENHI-PROJECT-16KT0022, KAKENHI-PROJECT-15K04963, KAKENHI-PROJECT-17K05368, KAKENHI-PROJECT-16K13778, KAKENHI-PROJECT-15K17595, KAKENHI-PROJECT-26287024, KAKENHI-PROJECT-26287025
  • [Journal Article] 反応拡散近似とその周辺2014

    • Author(s)
      飯田 雅人、二宮 広和
    • Journal Title

      数学(日本数学会編集、岩波書店発行)

      Volume: 66 Pages: 225-248

    • NAID

      130005689994

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540216
  • [Journal Article] The behavior of the interfaces in the fast reaction limits of some reaction-diffusion systems with unbalanced interactions2014

    • Author(s)
      Masato Iida, Harunori Monobe, Hideki Murakawa and Hirokazu Ninomiya
    • Journal Title

      数理解析研究所講究録(京大数理解析研究所)

      Volume: 1892 Pages: 88-94

    • Data Source
      KAKENHI-PROJECT-24540216
  • [Journal Article] 反応拡散近似とその周辺2014

    • Author(s)
      飯田雅人, 二宮広和
    • Journal Title

      数学

      Volume: 66 Pages: 225-248

    • NAID

      130005689994

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287024
  • [Journal Article] Different degrees of reaction rates can block interfacial dynamics in reaction-diffusion systems2013

    • Author(s)
      Masato Iida
    • Journal Title

      Proceedings of Seminar on Partial Differential Equations in Osaka 2012 - in honor of Professor Hiroki Tanabe's 80th birthday -

      Volume: - Pages: 39-43

    • Data Source
      KAKENHI-PROJECT-24540216
  • [Journal Article] Stacked fronts for cooperative systems with equal diffusion coefficients2011

    • Author(s)
      M.Iida, R.Lui, H.Ninomiya
    • Journal Title

      SIAM Journal on Mathematical Analysis Vol.43

      Pages: 1369-1389

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Journal Article] Relative compactness in L^p of solutions of some 2m components competition-diffusion systems2008

    • Author(s)
      D. Hilhorst, M. Iida, M. Mimura, H. Ninomiya
    • Journal Title

      Discrete and continuous dynamical systems 21 No.1

      Pages: 233-244

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540147
  • [Journal Article] Relative compactness in L^p of solutions of some 2m components competition-diffusion systems2008

    • Author(s)
      D. Hilhorst, M. Iida, M. Mimura and H. Ninomiya
    • Journal Title

      Discrete and Continuous Dynamical Systems Vol.21, No.1

      Pages: 233-244

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540152
  • [Journal Article] Relative compactness in L^p of solutions of some 2m components competition-diffusion systems2008

    • Author(s)
      D.Hilhorst, M.Iida, M.Mimura, H.Ninomiya
    • Journal Title

      Discrete and Conti.Dynam.Systems Vol.21

      Pages: 233-244

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Journal Article] Relative compactness in L^p of solutions of some 2m components competition-diffusion systems2008

    • Author(s)
      D.Hilhorst, M.Iida, M.Mimura and H.Ninomiya
    • Journal Title

      Discrete and continuous dynamical systems 21

      Pages: 233-244

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540147
  • [Journal Article] Relative compactness in L^p of solutions of some 2m components competition-diffusion systems2008

    • Author(s)
      D.Hilhorst, M.Iida, M.Mimura and H.Ninomiva
    • Journal Title

      Discrete and continuous dynamical systems 21

      Pages: 233-244

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540147
  • [Journal Article] Relative compactness in Lp of solutions of some 2m components competition-diffusion systems2008

    • Author(s)
      D. Hilhorst, M. Iida, M. Mimura, H. Ninomiya
    • Journal Title

      Discrete and Continuous Dynamical Sys tems Vol. 21 N0. 1

      Pages: 233-244

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Journal Article] Relative compactness in L^p of solutions of some 2m components competition-diffusion systems2008

    • Author(s)
      D.Hilhorst, M.Iida, M.Mimura, H.Ninomiya
    • Journal Title

      Discrete and continuous dynamical systems. 21(1)

      Pages: 233-244

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540144
  • [Journal Article] Relative compactness in Lp of solutions of some 2m components competition-diffusion systems2008

    • Author(s)
      D. Hilhorst, M. Iida, M. Mimura, H. Ninomiya
    • Journal Title

      Discrete and Continuous Dynamical Systems Vol. 21, No. 1

      Pages: 233-244

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] On certain one-dimensional elliptic systems under different growth conditions at respective infinities2007

    • Author(s)
      Masato Iida, Kimie Nakashima, Eiji Yanagida
    • Journal Title

      Advanced Studies in Pure Mathematics 47

      Pages: 565-572

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540147
  • [Journal Article] On certain one-djmensiohal elliptics systems under different growth conditions at respective infinities2007

    • Author(s)
      Masato Ijda, Klmie Nakashlma and Elji Yanaglida
    • Journal Title

      Advanced Studies in Pure Mathematics 47

      Pages: 566-572

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540147
  • [Journal Article] On certain one-dimensional elliptic systems under different growth conditions at respective infinities2007

    • Author(s)
      M. Iida, K. Nakashima, E. Yanagida
    • Journal Title

      Advanced Studies in Pure Mathematics 47

      Pages: 565-572

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540152
  • [Journal Article] On certain one-dimensional elliptic systems under different growth conditions at respective infinities2007

    • Author(s)
      Masato Iida, Kimie Nakashima and Eiji Yanagida
    • Journal Title

      Advanced Studies in Pure Mathematics 47

      Pages: 565-572

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540147
  • [Journal Article] On certain one-dimensional elliptic systems under different growth conditions at respective infinities2007

    • Author(s)
      M. Iida, K. Nakashima and E. Yanagida
    • Journal Title

      Advanced Studies in Pure Mathematics 47-2

      Pages: 565-572

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] On certain one-dimensional elliptic systems under different growth conditions at respective infinities2007

    • Author(s)
      M. Iida, K. Nakashima and E. Yanagida
    • Journal Title

      Advanced Studies in Pure Mathematics Vol.47, No.2

      Pages: 565-572

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540152
  • [Journal Article] A reaction-diffusion approximation to a cross-diffusion system2006

    • Author(s)
      M.Iida et al.
    • Journal Title

      Recent Advamces on Elliptic and Parabolic Issues(M.Chipot and H.Ninomiya eds.)(World Scientific)

      Pages: 145-164

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540194
  • [Journal Article] Diffusion, cross-diffusion and competitive interaction2006

    • Author(s)
      M. Iida, M. Mimum, H. Ninomiya
    • Journal Title

      J. Math. Biol 53

      Pages: 617-641

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540147
  • [Journal Article] Diffusion,cross-diffusion and competitive interaction2006

    • Author(s)
      M.Iida, M.Mimura, and H.Ninomiya
    • Journal Title

      J.Math.Biol. 53

      Pages: 617-641

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540147
  • [Journal Article] A reaction-diffusion approximation to a cross-diffusion system2006

    • Author(s)
      N.Iida, H.Ninomiya
    • Journal Title

      Recent Advances on Elliptic and Parabolic Issues (M. Chipot and H. Ninomiya eds)

      Pages: 145-164

    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] A reaction-diffusion approximation to a cross-diffusion system2006

    • Author(s)
      M.Iida et al.
    • Journal Title

      M. Chipot etal. eds. : "Recent Advances on Elliptic and Parabolic Issues" (World Scientific)

      Pages: 145-164

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540194
  • [Journal Article] Diffusion, Cross-diffusion, Competitive Interaction2006

    • Author(s)
      M.Iida, M.Mimura, H.Ninomiva
    • Journal Title

      Journal of Mathematical Biology 53

      Pages: 617-641

    • Data Source
      KAKENHI-PROJECT-18540147
  • [Journal Article] Diffusion, cross-diffusion and competitive interaction2006

    • Author(s)
      M.Iida, M.Mimura, H.Ninomiya
    • Journal Title

      J. Math. Biol. 53(4)

      Pages: 617-641

    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] A significant relation between cross-diffusion and reaction-diffusion2005

    • Author(s)
      M.Iida, M.Mimura, H.Ninomiya
    • Journal Title

      京都大学数理解析研究所講究録 1436

      Pages: 167-186

    • Data Source
      KAKENHI-PROJECT-15540194
  • [Journal Article] A significant relation between cross-diffusion and reaction-diffusion2005

    • Author(s)
      M.Iida et al.
    • Journal Title

      京都大学数理解析研究所講究録 1436

      Pages: 167-186

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540194
  • [Journal Article] Diffusion, cross-diffusion and competitive interaction

    • Author(s)
      M.Iida et al.
    • Journal Title

      J.Math.Biol. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540194
  • [Journal Article] Stacked fronts for cooperative systems with equal diffusion coefficients

    • Author(s)
      Masato Iida, Roger Lui, Hirokazu Ninomiya
    • Journal Title

      SIAM Journal on Mathematical Analysis

      Volume: (In press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Journal Article] Diffusion, cross-diffusion and competitive interaction

    • Author(s)
      M.Iida et al.
    • Journal Title

      J. Math, Biol. (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540194
  • [Journal Article] A reaction-diffusion approximation to a cross-diffusion system

    • Author(s)
      M.Iida, H.Ninomiya
    • Journal Title

      Recent Aduances on Elliptic and Parabolic Issues (World Scientific)(M.Chipot and H.Ninomiya eds.) (掲載予定)

    • Data Source
      KAKENHI-PROJECT-15540194
  • [Presentation] 急速反応極限の接合漸近展開による再考2019

    • Author(s)
      飯田雅人
    • Organizer
      四ツ谷晶二先生ご退職記念研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04963
  • [Presentation] 急速反応極限の接合漸近展開による再考2018

    • Author(s)
      飯田雅人
    • Organizer
      2018夏の偏微分方程式セミナー
    • Data Source
      KAKENHI-PROJECT-15K04963
  • [Presentation] 急速反応極限の接合漸近展開による再考2018

    • Author(s)
      飯田 雅人
    • Organizer
      明治非線型数理セミナーone day workshop
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04963
  • [Presentation] 反応拡散近似への誘い(1)、(2)2017

    • Author(s)
      飯田 雅人
    • Organizer
      RIMS共同研究(公開型)「非線形現象と反応拡散方程式」
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04963
  • [Presentation] 反応拡散近似とは~基本的アイデアと可能性~2015

    • Author(s)
      飯田 雅人
    • Organizer
      応用数学勉強会2015@芝浦工大
    • Place of Presentation
      芝浦工業大学大宮キャンパス
    • Year and Date
      2015-10-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04963
  • [Presentation] 生物集団の多段階侵入の定式化 --協調拡散系の場合--2014

    • Author(s)
      飯田雅人
    • Organizer
      Dynamics and Special Functions
    • Place of Presentation
      岩手大学人文社会科学部
    • Data Source
      KAKENHI-PROJECT-24540216
  • [Presentation] The behavior of the interfaces in the fast reaction limits of some reaction-diffusion systems with asymmetric reaction rates2013

    • Author(s)
      Masato Iida, Harunori Monobe, Hideki Murakawa and Hirokazu Ninomiya
    • Organizer
      New Role of the Theory of Abstract Evolution Equations -- From a Point of View Overlooking the Individual Partial Differential Equations --
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540216
  • [Presentation] 反応拡散系の反応率非対称性による急速反応極限界面の伝播速度への影響2013

    • Author(s)
      飯田雅人
    • Organizer
      2013秋の偏微分方程式セミナー
    • Place of Presentation
      大阪大学
    • Data Source
      KAKENHI-PROJECT-24540216
  • [Presentation] 個体群の多段階侵入の定式化-協調拡散系の場合-2011

    • Author(s)
      飯田雅人
    • Organizer
      拡散と移流の数理
    • Place of Presentation
      別府亀の井ホテル由布の間
    • Year and Date
      2011-01-19
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Presentation] 個体群の多段階侵入の定式化-協調拡散系の場合-2011

    • Author(s)
      飯田雅人
    • Organizer
      研究集会「拡散と移流の数理」
    • Place of Presentation
      別府亀の井ホテル由布の間
    • Year and Date
      2011-01-19
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Presentation] ある半線形楕円型方程式の正値解の無限遠での漸近挙動とその応用2010

    • Author(s)
      飯田雅人
    • Organizer
      第67回解析セミナー
    • Place of Presentation
      愛媛大学理学部
    • Year and Date
      2010-01-23
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Presentation] Topics related to multi-phase invasions in population dynamics2010

    • Author(s)
      飯田雅人
    • Organizer
      Nonlinear Evolutionary PDEs and their Equilibrium States
    • Place of Presentation
      早稲田大学理工学部
    • Year and Date
      2010-06-11
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Presentation] On multi-phase invasions in a Lotka-Volterra cooperative system with diffusion2010

    • Author(s)
      Masato Iida
    • Organizer
      Nonlinear Analysis and Integrable Systems
    • Place of Presentation
      龍谷大学セミナーハウス「ともいき荘」
    • Year and Date
      2010-11-19
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Presentation] On multi-phase invasions in a Lotoka-Volterra cooperative system with diffusion2010

    • Author(s)
      飯田雅人
    • Organizer
      Nonlinear Analysis and Integrable Systems
    • Place of Presentation
      龍谷大学セミナーハウス「ともいき荘」
    • Year and Date
      2010-11-19
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Presentation] 反応拡散系の急速反応極限によって見えるもの(函数方程式論分科会特別講演)2009

    • Author(s)
      飯田雅人
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪大学理学部
    • Year and Date
      2009-09-26
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Presentation] 反応拡散系の急速反応極限によって見えるもの2009

    • Author(s)
      飯田雅人
    • Organizer
      日本数学会秋季総合分科会(函数方程式論分科会特別講演)
    • Place of Presentation
      大阪大学豊中キャンパス
    • Year and Date
      2009-09-26
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Presentation] 反応拡散系の急速反応極限によって見えるもの2009

    • Author(s)
      飯田雅人
    • Organizer
      日本数学会秋季総合分科会函数方程式論分科会特別講演
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-26
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Presentation] ある反応拡散系の角遷移層における漸近解の構成2009

    • Author(s)
      飯田雅人
    • 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
      2009-07-17
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Presentation] 反応拡散系の急速反応極限によって見えるもの2009

    • Author(s)
      飯田雅人
    • Organizer
      日本数学会秋季総合分科会特別講演[函数方程式論分科会]
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-26
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Presentation] Charactehzation of asymptotic solutions for a reaction‐diffusion system around a corner layer2008

    • Author(s)
      飯田雅人
    • Organizer
      第25回九州における偏微分方程式研究集会
    • Place of Presentation
      九州大学 箱崎キャンパス 国際ホール
    • Year and Date
      2008-01-30
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Presentation] Characterization of asymptotic solutions for a reaction- diffusion system around a corner layer2008

    • Author(s)
      飯田雅人
    • Organizer
      第25回九州における偏微分方程式研究集会
    • Place of Presentation
      九州大学
    • Year and Date
      2008-01-30
    • Data Source
      KAKENHI-PROJECT-18540152
  • [Presentation] 生物集団の分散・移動を模する二種類の微分方程式-準線形拡散モデルと線形拡散・状態切替モデル-2008

    • Author(s)
      飯田雅人
    • Organizer
      ミニワークショップ「数理生態モデルをめぐる諸問題-Lotka-Volterra 系を中心として-」
    • Place of Presentation
      京都産業大学
    • Year and Date
      2008-02-23
    • Data Source
      KAKENHI-PROJECT-18540152
  • [Presentation] 個体群侵入における段階別侵入速度について2008

    • Author(s)
      飯田雅人
    • Organizer
      盛岡応用数学小研究集会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-12-13
    • Data Source
      KAKENHI-PROJECT-18540152
  • [Presentation] 個体群侵入における段階別侵入速度について2008

    • Author(s)
      飯田雅人
    • Organizer
      盛岡応用数学小研究集会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-12-13
    • Data Source
      KAKENHI-PROJECT-20540200
  • [Presentation] Vanishing, moving and immovable interfaces in fast reaction limits

    • Author(s)
      Masato Iida
    • Organizer
      The 32nd Kyushu Symposium on Partial Differential Equations
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2015-01-28 – 2015-01-30
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540216
  • [Presentation] Some topics in "reaction-diffusion approximation"

    • Author(s)
      飯田雅人
    • Organizer
      研究集会「第8回 非線型の諸問題」
    • Place of Presentation
      宮崎県婦人会館
    • Data Source
      KAKENHI-PROJECT-24540216
  • [Presentation] On the fast reaction limit of a reaction-diffusion system whose interaction terms are non-relative to each other

    • Author(s)
      Masato Iida
    • Organizer
      Seminar on Partial Differential Equations in Osaka, 2012 - In honor of Professor Hiroki Tanabe's 80th birthday -
    • Place of Presentation
      大阪大学吹田キャンパス
    • Data Source
      KAKENHI-PROJECT-24540216
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