Sakamoto Kunimochi 坂元国望

… Alternative Names

SAKAMOTO Kunimoch 坂元国望

SAKAMOTO Kunimochi 坂元国望

坂本国望サカモトクニモチ

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Researcher Number	40243547
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2019 – 2020: 広島大学, 統合生命科学研究科(理), 教授 2016 – 2018: 広島大学, 理学研究科, 教授 2013 – 2016: 広島大学, 理学(系)研究科(研究院), 教授 2008 – 2010: Hiroshima University, 大学院・理学研究科, 教授 2006: Hiroshima University, Graduate School of Science, Professor, 大学院理学研究科, 教授 … More 2006: 広島大学, 理学(系)研究科(研究院)・, 教授 2000 – 2005: Hiroshima Univ., Graduate School of Science, Professor, 大学院・理学研究科, 教授 2001 – 2002: 広島大学, 理学部, 教授 1999 – 2000: Hiroshima Univ., Department of Math., Assoc. Prof., 大学院・理学研究科, 助教授 1996 – 1999: Hiroshima-U., Mathematics, Assist. Peofessor, 理学部, 助教授 1993 – 1995: 広島大学, 理学部, 講師 Less
Review Section/Research Field	Principal Investigator 解析学 / Mathematical analysis / Basic Section 12020:Mathematical analysis-related / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / Global analysis Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / 解析学 / Foundations of mathematics/Applied mathematics
Keywords	Principal Investigator 反応拡散系 / 界面方程式 / 細胞極性 / 特異極限 / 安定性 / 界面 / Turing不安定化 / 安定性解析 / 漸近解析 / 分岐 … More / Reaction-Diffusion System / 漸近展開 / 境界相互作用 / 境界上の相互作用 / 遷移層 / 特異摂動法 / パターンの安定性 / Turing 分岐 / 非線形Robin型境界条件 / パターンの線形安定性 / Turing分岐 / 内部拡散 / 定常状態の線形不安定性 / 非線形ロバン型境界条件 / 細胞膜上の相互作用 / 細胞質内の部拡散 / 遷移構造 / 力学系 / 非線形解析 / 非一様平衡解 / 非線形境界条件 / 相互作用 / 拡散 / 領域境界と領域内部の相互作用 / スペクトルの変分法的特徴付け / Tuirng patternと細胞極性 / フラックスタイプ境界条件 / 固有値の変分法的特徴付け / ロバン型非線形境界条件 / 非一様解の分岐 / 安定性とスペクトルの挙動 / 細胞極性モデル / reaction-diffusion system / symmetry breaking bifurcation / Lyapunov-Schmidt method / mean curvature flow / asymptotic analysis / singular limit / interface / transition layer / 反応拡散対流系 / 球対称 / 変分法 / 楕円型偏微分方程式 / 極小曲面 / Lyapunov-Schmidt法 / 対流 / 保存則 / 対称性破壊分岐 / リヤプノフ・シュミット法 / 平均曲率流 / Stability / Bifurcation / Singular Limit / Interface Equation / Internal Layer / 特異振動 / 界面ダイナミクス / 内部境界層 / 内部層 / Singular Perturbation / Asymptotic Expansion / Free Boundary Problem / Interface / Internal Transition Layrs / 高次元界面 / 特異摂動 / 特異振動法 / 自由境界問題 / 内部遷移層 / 楕円型固有値問題 / 波動モードの不安定化 / 境界での非対角型物質輸送 / Turing 型不安化 / 特殊関数 / 固有値問題 / 不安定化閾値曲線 / 拡散輸送 / Turing 型不安定化 / Hop モードの不安定化 / パターン形成 / 臨界曲線 / Hopfモードの不安定化 / 多変数系 / 拡散系 / ディリクレーノイマン写像 / ステクロフ固有値 / Turing 不安定化 / 非一様場 / Fokker-Planck方程式 / Riemann計量と非一様拡散 / 反応拡散方程式系 / 安定性・軌道安定性 / 空間周期解 / 曲率の非一様性 / 領域境界の曲率 / 波動分岐 / Turing不安定性 / 周期解 / 非正常分岐現象 / パターンダイナミク / 対称性 / 固有値 / 曲率 / パターンダイナミクス / ホップ分岐 / 時空間パターン / 反応拡散方程式 / 非平衡系 / 開放系 / 境界層 / スペクトル解析 / 反応・拡散方程式系 … More Except Principal Investigator 反応拡散系 / 界面ダイナミクス / 特異極限法 / 自由境界問題 / Singular limit methods / 特異摂動法 / 数理モデル / パターン形成 / Population Dynamics / Feller Semigroup / 燃焼問題 / 人口動態論 / フェラー半群 / pattern formation / Interfacial dynamics / Free boundary problem / 特異極限解析 / 曲率方程式 / パターン形式 / reaction-diffusion system / 発展方程式 / internal layer / phase field model / phase separation / numerical analysis / mathematical model / material sciences / パルスダイナミクス / アダプティブメッシュ / 自己無撞着平均場理論 / 計算機シミュレーション / 高分子共重合体 / ポリマーアロイ / 反応拡散 / 数値シミュレーション / 数理解析 / 有限要素法 / 内部境界層 / フェイズフイールドモデル / 相分離 / 数値解析 / 材料科学 / Markov Process / Combustion Problem / Nonlinear Boundary Value Problem / Singular Integral Operator / 弾性体力学 / 拡散過程 / 楕円型境界値問題 / マルコフ過程 / 非線型境界値問題 / 特異積分作用素 / Center manifold theory / Chemotaxis equations / Equations of curvature / Traveling wave solutions / Blow up problem / Singular perturbation method / 不安定成長系 / スパイク解の運動 / 走化性モデル解析 / 曲率方程式解析 / 進行波の反射現象 / ホモクリニック力学系 / 界面運動の数値解析 / 進行波 / 反応拡散系の数値計算 / 慣性多様体理論 / 走化性方程式 / 進行波解 / 解の爆発 / Harmonic Integral / Chemical Reactor Theory / Boundary Value Problem / Brownian Motion / 指数公式 / 調和積分 / 化学反応 / 積分微分作用素 / 調和積分論 / 化学反応論 / 境界値問題 / ブラウン運動 / transient dynamics / rugged landscape / chaos / bifurcation / pulse interaction / reaction diffusion system / self-replication pattern / 分岐解追跡ソフトウエアー / グレインバウンダリー / 極限点の整列階層構造 / 反応拡散方程式 / 遷移ダイナミクス / 多谷構造 / カオス / 分岐 / パルス相互作用 / 自己複製パターン / singular purturbation methods / Numerical analysis of melting and solidification problem / complex liquid / Phase se ration / Dendritic growth pattern / 非平衡開放系 / 発熱反応 / 樹枝状成長 / 複雑形態の数値シミュレーションの画像処理 / 複雑形態の計算機シミュレーション法 / フラクタル理論 / 結晶成長の数値解析 / コロイド結晶 / 界面ダイナミクスの数理 / 融解・凝固現象の数値解析 / 複雑液体 / 相分離現象 / 樹枝状成長パターン / interfacial dynamics / Numerical analysis of singularities / Pattern formation / Mathematics of blow up phenomenon / Mean curvature equations / Singular perturbation methods / 動画化システム / 非平衡系に現われる時空間パターン / 非線形非平衡現象の理論的解明 / 境界追跡法 / 伝染病モデル / 界面方程式 / 無次元力学系 / パターン解析 / ウェーブレット / 安定性理論 / 生体系モデル / 数値分岐理論 / 特異現象の数値解析 / 爆発現象の数理 / 平均曲率方程式 / nonlinear conveetive diffusion equation / nonlinear elliptic equation / infinite dimensinoal dynamical system / computational methods / numerical method / evolution equations / nonlinear analysis / 非線形移流・拡散方程式 / 非線形拡散・移流方程式 / 非線形楕円型方程式 / 数値計算法 / 数値解法 / 無限次元力学系 / 非線形解析 / Feynman path integral / Stochastic analysis / Dynamical system / Quasilinear elliptic equation / Nonlinear perturbation / Nonlinear semigroup / Evolution operator / Nonlinear evolution system / 振動解 / 移流・拡散方程式 / 半線形楕円型方程式 / ファイマン経路積分 / 力学系 / 準線形楕円型方程式 / 非線形摂動 / 非線形半群 / 発展作用素 / 非線形発展系 / 交差拡散系 / FitzHugh-Nagumo方程式 / 感染モデル / フロント波 / 生物モデル / 解の安定性 / 散逸力学系 / 特異極限 / フロント解 / 反応拡散方程式系 / FitzHugh-Nagumoモデル / 反応拡散モデル / 分岐構造 / 感染症モデル / 安定性解析 / 非線形境界条件 / ウイルス感染モデル / 細胞接着モデル / 細胞極性モデル / 固有値比較の原理 / 分岐解析 / 安定性 / oil-reservoir problems / porous medium equation / 台の分離問題 / 密度依存型拡散 / 多孔質媒体流 / 差分法 / 非線型偏微分方程式 / 確率場の決定性 / 確率場 / 安定分布 Less

境界上の相互作用に依って駆動される拡散系の力学系的研究Principal Investigator
- Principal Investigator
  
  坂元国望
- Project Period (FY)
  2019 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Hiroshima University
Dynamical system approach to the transition structure between asymptotic Turing patterns and the generation of Turing patternsPrincipal Investigator
- Principal Investigator
  
  SAKAMOTO KUNIMOCHI
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Hiroshima University
Mathematical foundations and applications in dissipative models arising in life science
- Principal Investigator
  
  Morita Yoshihisa
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Ryukoku University
Unified Study of Turing type InstabilityPrincipal Investigator
- Principal Investigator
  
  Sakamoto Kunimochi
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Hiroshima University
Reaction Diffusion Dynamics in non-homogeneous mediaPrincipal Investigator
- Principal Investigator
  
  SAKAMOTO Kunimoch
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Hiroshima University
Asymptotic Analysis and Applications of Transition Layers and InterfacesPrincipal Investigator
- Principal Investigator
  
  SAKAMOTO Kunimochi
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  HIROSHIMA UNIVERSITY
Singular Integral Operators and Nonlinear Problems
- Principal Investigator
  
  TAIRA Kazuaki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  University of Tsukuba
Applied mathematics of pattern formation in material sciences
- Principal Investigator
  
  OHTA Takao
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  HIROSHIMA UNIVERSITY
Development of reaction-diffusion systems - Studies of singular limit methods -
- Principal Investigator
  
  MIMURA Masayasu
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  HIROSHIMA UNIVERSITY
Asymtotic Analysis of Transition Layers Intersecting the BoundaryPrincipal Investigator
- Principal Investigator
  
  SAKAMOTO Kunimochi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Hiroshima University
Brownian Motion and Nonlinear Boundary Value Problems
- Principal Investigator
  
  TAIRA Kazuaki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  University of Tsukuba
Mathematical Studies of melting, solidification and growth phenomena in material science
- Principal Investigator
  
  MIURA Masayasu
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hiroshima University
  The University of Tokyo
Infinite Dimensional Transient Dynamics in Dissipative Systems
- Principal Investigator
  
  NISHLURA Yasumasa
- 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
  HOKKAIDO UNIVERSITY
Internal Transition Layrs for semilinear elliptic systems and a related free boundary problemPrincipal Investigator
- Principal Investigator
  
  SAKAMOTO Kunimochi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  HIROSHIMA UNIVERSITY
Nonlinear analysis and applications
- Principal Investigator
  
  OHARU Shinnosuke
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  HIROSHIMA UNIVERSITY
Mathematical Studies of singularities governed by nonlinear phenomena
- Principal Investigator
  
  MIURA Masayasu
- Project Period (FY)
  1996 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hiroshima University
  The University of Tokyo
微分方程式で記述される自由境界問題について
- Principal Investigator
  
  中木達幸
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hiroshima University
非平衡系におけるパターン形成Principal Investigator
- Principal Investigator
  
  坂元国望
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Hiroshima University
多径数安定型確率場の理論
- Principal Investigator
  
  竹中茂夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hiroshima University
Evolution equations and their applications to nonlinear problems
- Principal Investigator
  
  OHARU Shinnosuke
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  HIROSHIMA UNIVERSITY
非線形特異摂動問題の力学系的研究とその応用Principal Investigator
- Principal Investigator
  
  坂本国望
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Hiroshima University

All 2020 2019 2018 2016 2015 2014 2013 2010 2009 2008 2006 2005 2004 Other

All Journal Article Presentation

[Journal Article] Turing type instability in a diffusion model with mass transport on the boundary2020
- Author(s)
  Morita Yoshihisa、Kunimochi Sakamoto
- Journal Title
  
  Discrete & Continuous Dynamical Systems - A
  
  Volume: 40 Issue: 6 Pages: 3813-3836
- DOI
  10.3934/dcds.2020160
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01139, KAKENHI-PROJECT-19K03564
[Journal Article] A diffusion model for cell polarization with interactions on the membrane2018
- Author(s)
  Yoshihisa Morita and Kunimoch Sakamoto
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 35 Pages: 261-276
- NAID
  210000174677
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05231
[Journal Article] A diffusion model for cell polarization with interaction on the membrane2018
- Author(s)
  Yoshihisa Morita and Kunimochi Sakamoto
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 35 Pages: 261-276
- NAID
  210000174677
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05231
[Journal Article] A diffusion model for cell polarization with interactions on the membrane2018
- Author(s)
  Y. Morita and K. Sakamoto
- Journal Title
  
  Japan J. Indust. Appl. Math.
  
  Volume: 35 Issue: 1 Pages: 261-276
- DOI
  10.1007/s13160-017-0290-8
- NAID
  210000174677
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04972, KAKENHI-PROJECT-26247013, KAKENHI-PROJECT-26287025
[Journal Article] Destabilization threshold curves for diffusion systems with equal diffusivity under non-diagonal flux boundary conditions2016
- Author(s)
  K. Sakamoto
- Journal Title
  
  Discrete and Continuous Dynamical Systems B
  
  Volume: 21 Pages: 641-654
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400171
[Journal Article] Destabilization of uniform steady states in linear diffusion systems with nonlinear boundary conditions2015
- Author(s)
  A. Anma, K. Sakamoto
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 64 Pages: 201-207
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400171
[Journal Article] Destabilization/Stabilization of Diffusion Systems by Diffusion and Boundary Flux2014
- Author(s)
  K. Sakamoto
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1924 Pages: 30-54
- Open Access
- Data Source
  KAKENHI-PROJECT-26287025
[Journal Article] Destabilization/Stabilization of Diffusion Systems by Diffusion and Boundary Flux2014
- Author(s)
  Kunimochi Sakamoto
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1924 Pages: 30-54
- Data Source
  KAKENHI-PROJECT-25400171
[Journal Article] Turing type mechanisms for linear diffusion systems under nondiagonal Robin boundary conditions2013
- Author(s)
  A. Anma and K. Sakamoto
- Journal Title
  
  SIAM Journal on Mathematical Analysis
  
  Volume: 45 Issue: 6 Pages: 3611-2628
- DOI
  10.1137/130908270
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400171
[Journal Article] Front motion in viscous conservation laws with stiff source terms2006
- Author(s)
  J.Haerterich, K.Sakamoto
- Journal Title
  
  advances in Differential Equations vol. 11, no. 7
  
  Pages: 721-750
- NAID
  120001155416
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] Front motion in viscous conservation laws with stiff source terms2006
- Author(s)
  J.Haerterich, K.Sakamoto
- Journal Title
  
  Advances in Differential Equations 11/7
  
  Pages: 721-750
- NAID
  120001155416
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] Infinitely many fine modes bifurcating from radially symmetric internal layers2005
- Author(s)
  K.Sakamoto
- Journal Title
  
  Asymptotic Analysis 42
  
  Pages: 55-104
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] Existence and stability of three-dimensional boundary-interior layers for the Allen-Cahn equation2005
- Author(s)
  K.Sakamoto
- Journal Title
  
  Taiwanese J. of Mathematics 9/2
  
  Pages: 331-358
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] Infinitely many fine modes bifurcating from radially symmetric internal layers2005
- Author(s)
  K.Sakamoto
- Journal Title
  
  Asymptotic Analysis 42/1
  
  Pages: 55-104
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] Existence and stability of three-dimensional boundary-interior layers for the Allen-Cahn equation2005
- Author(s)
  K.Sakamoto
- Journal Title
  
  Taiwanese J. of Mathematics vol. 9, no. 2
  
  Pages: 331-358
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] A Lyapunov-Schmidt method for transition layers in reaction-diffusion systems2005
- Author(s)
  J.Hale, K.Sakamoto
- Journal Title
  
  Hiroshima Mathematical J. 35/2
  
  Pages: 205-249
- NAID
  110002538253
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] Existence and stability of three-dimensional boundary-interior layers for the Allen-Cahn equation2005
- Author(s)
  K.Sakamoto
- Journal Title
  
  Taiwanese Journal of Mathematics 9/3
  
  Pages: 331-358
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] A Lyapunov-Schmidt method for transition layers in reaction-diffusion systems2005
- Author(s)
  J.K.Hale, K.Sakamoto
- Journal Title
  
  Hiroshima Mathematical Journal 32/2
  
  Pages: 205-249
- NAID
  110002538253
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] Infinitely many fine modes bifurcating from radically symmetric internal layers2005
- Author(s)
  K.Sakamoto
- Journal Title
  
  Asymptotic Analysis vol. 42, no.1
  
  Pages: 55-104
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] A Lyapunov-Schmidt method for transition layers in reaction-diffusion systems2005
- Author(s)
  J.Hale, K.Sakamoto
- Journal Title
  
  Hiroshima Mathematical J. vol. 35, no. 2
  
  Pages: 205-249
- NAID
  110002538253
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] Spherically symmetric internal layers for activator-inhibitor systems II. Stability and symmetry breaking bifurcations2004
- Author(s)
  K.Sakamoto, H.Suzuki
- Journal Title
  
  Journal of Differential Equations 204
  
  Pages: 93-122
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] Spherically symmetric internal layers for activator-inhibitor systems II2004
- Author(s)
  K.Sakamoto, H.Suzuki
- Journal Title
  
  J. Differential Equations 204/1
  
  Pages: 93-122
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] Spherically symmetric internal layers for activator-inhibitor systems I2004
- Author(s)
  K.Sakamoto, H.Suzuki
- Journal Title
  
  J. Differential Equations vol. 204, no. 1
  
  Pages: 56-92
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] Spherically symmetric internal layers for activator-inhibitor systems I2004
- Author(s)
  K.Sakamoto, H.Suzuki
- Journal Title
  
  J. Differential Equations 204/1
  
  Pages: 56-92
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] Spherically symmetric internal layers for activator-inhibitor systems I. Existence by a Lyapunov-Schmit reduction2004
- Author(s)
  K.Sakamoto, H.Suzuki
- Journal Title
  
  Journal of Differential Equations 204
  
  Pages: 56-92
- Data Source
  KAKENHI-PROJECT-16540107
[Journal Article] Spherically symmetric internal layers for activator-inhibitor systems II2004
- Author(s)
  K.Sakamoto, H.Suzuki
- Journal Title
  
  J. Differential Equations vol. 204, no. 1
  
  Pages: 93-122
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540107
[Presentation] Turingメカニズム適用例の拡張2019
- Author(s)
  坂元　国望
- Organizer
  非線形偏微分方程式の理論と応用
- Invited
- Data Source
  KAKENHI-PROJECT-19K03564
[Presentation] A Turing mechanism in A Cell Polarization2018
- Author(s)
  坂元国望
- Organizer
  岡山大学理学部「パターン形成の数理とその周辺」
- Invited
- Data Source
  KAKENHI-PROJECT-16K05231
[Presentation] 領域境界上反応-領域内部拡散系にたいするTuring 不安定化について2018
- Author(s)
  坂元国望
- Organizer
  北海道大学電子科学研究所「反応拡散系の理論と応用ー現状と未来ー」
- Invited
- Data Source
  KAKENHI-PROJECT-16K05231
[Presentation] Bulk Reaction versus Boundary Flux in diffusive systems2016
- Author(s)
  Kunimochi Sakamoto
- Organizer
  日本数理生物学会
- Place of Presentation
  九州大学
- Year and Date
  2016-09-07
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05231
[Presentation] Bulk Reaction versus Boundary Flux in diffusive systems2016
- Author(s)
  K. Sakamoto
- Organizer
  2016年日本数理生物学会年会
- Place of Presentation
  九州大学伊都キャンパス
- Year and Date
  2016-09-07
- Invited
- Data Source
  KAKENHI-PROJECT-26287025
[Presentation] An elementary analysis of boundary interactions and bulk diffusion systems,2016
- Author(s)
  K. Sakamoto
- Organizer
  International Conference on Reaction Diffusion Equations and their Applications to the Life, Social and Physical Sciences
- Place of Presentation
  Renmin University of China, P.R. China
- Year and Date
  2016-05-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287025
[Presentation] Stability analysis of non-uniform solutions for diffusive systems with nonlinear boundary flux2016
- Author(s)
  Kunimochi Sakamoto
- Organizer
  ミクロな振る舞いと集団的パターン形成に係わる階層的構造の解明
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2016-09-12
- Invited
- Data Source
  KAKENHI-PROJECT-16K05231
[Presentation] An elementary analysis of boundary interactions and bulk diffusion systems2016
- Author(s)
  Kunimochi Sakamoto
- Organizer
  International Conference on Reaction Diffusion Equations and their Applications to the Life, Social and Physical Sciences,
- Place of Presentation
  中国人民大学（中華人民共和国、北京）
- Year and Date
  2016-05-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05231
[Presentation] Diffusion in the bulk and non-diagonal flux on the boundary lead to Turing type instability2016
- Author(s)
  K. Sakamoto
- Organizer
  International Conference on Dynamics of Evolution Equations
- Place of Presentation
  CIRM, Aix-Marseill, Marseille, France
- Year and Date
  2016-03-21
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400171
[Presentation] Turing Bifurcations in Diffusion Systems with Nonlinear Boundary Interactions2015
- Author(s)
  K. Sakamoto
- Organizer
  Pattern Formation and Dynamics of Solution Structure
- Place of Presentation
  北海道大学理学研究科
- Year and Date
  2015-06-26
- Invited
- Data Source
  KAKENHI-PROJECT-25400171
[Presentation] Hopf destabilization of nontrivial spatial modes in diffusion systems with equal diffusion rates2014
- Author(s)
  坂元国望
- Organizer
  Singuraities arising in Nonlinear Phenomena (SNP2013Winter)
- Place of Presentation
  関西セミナーハウス
- Invited
- Data Source
  KAKENHI-PROJECT-25400171
[Presentation] Periodic traveling waves in a derivative nonlinear Schoedinger equation2014
- Author(s)
  Kunimochi Sakamoto
- Organizer
  Colloquium at Department of Mathematics, Faculty of Physics, Moscow State University
- Place of Presentation
  Faculty of Physics, Moscow State University, Russia
- Year and Date
  2014-11-26
- Invited
- Data Source
  KAKENHI-PROJECT-25400171
[Presentation] Dirichlet-to-Neumann Map: A useful tool for studying patterns and intefraces2013
- Author(s)
  坂元国望
- Organizer
  反応拡散系のパターンダイナミクス
- Place of Presentation
  富山大学理学部
- Invited
- Data Source
  KAKENHI-PROJECT-25400171
[Presentation] Destabilization/Stabilization of Diffusion Systems by Diffusion and Boundary Flux2013
- Author(s)
  坂元国望
- Organizer
  非線形現象に現れるパターン形成の数理解析（RIMS研究集会）
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-25400171
[Presentation] Co-existence by using the geometry of domain2013
- Author(s)
  坂元国望
- Organizer
  日本数理生物学会
- Place of Presentation
  静岡大学（浜松市）
- Data Source
  KAKENHI-PROJECT-25400171
[Presentation] Stability and Bifurcation of Periodic waves in a dispersive system2010
- Author(s)
  Sakamoto Kunimochi
- Organizer
  日韓協同研究集会(ダイナミカルシステムとその周辺)
- Place of Presentation
  釜山大学(釜山、韓国)
- Year and Date
  2010-03-04
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Stability and Bifrcation of Rotating Waves in Nonlinear Equations2010
- Author(s)
  坂元国望
- Organizer
  The Fourth International Conference on Recent Advances in Applied Dynamicsl Systems
- Place of Presentation
  Zhejiang Normal University(中華人民共和国)(招待講演)
- Year and Date
  2010-06-17
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Diffusion systems with interacting flux on the boundary2010
- Author(s)
  Sakamoto Kunimochi
- Organizer
  8-th AIMS International conference on Dynaimcal Systems, Differential Equations and Applications, Dresden University of Technology
- Place of Presentation
  Dresden,ドイツ連邦共和国
- Year and Date
  2010-05-27
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Stability and Bifurcation of Periodic Waves in a Dispersive System2010
- Author(s)
  坂元国望
- Organizer
  日韓共同研究集会「ダイナミカルシステムとその周辺」
- Place of Presentation
  釜山大学(韓国)
- Year and Date
  2010-03-04
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Diffusion Systems with Interacting Flux on the Boundary2010
- Author(s)
  坂元国望
- Organizer
  8-th AIMS International Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Dresden University of Technology(ドイツ)
- Year and Date
  2010-05-27
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Stability and Bifurcation of Rotating Waves in Nonlinear Equations2010
- Author(s)
  Sakamoto Kunimochi
- Organizer
  The 4-th International Conference on Recent Advances in Applied Dynamical Systems
- Place of Presentation
  Zhejian Normal University(金華市、中華人民共和国)
- Year and Date
  2010-06-17
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Turing instability for three-component systems2010
- Author(s)
  Sakamoto Kunimochi
- Organizer
  NCTS Workshop on PDE models for Biological Processes
- Place of Presentation
  Tsing-Hua University(新竹市、台湾)
- Year and Date
  2010-12-16
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Turing Instability for Three Component Systems2010
- Author(s)
  坂元国望
- Organizer
  NCTS Workshop on PDE Models of Biological Processes
- Place of Presentation
  Tsing-Hua University(台湾)
- Year and Date
  2010-12-16
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Stability and bifurcation of Periodic Waves in nonlinear equations2010
- Author(s)
  Sakamoto Kunimochi
- Organizer
  RIMS研究集会
- Place of Presentation
  埼玉大学
- Year and Date
  2010-01-14
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Stability and Bifurcation of Periodic Waves in non-linear equations2010
- Author(s)
  坂元国望
- Organizer
  RIMS研究集会
- Place of Presentation
  埼玉大学
- Year and Date
  2010-01-14
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Stability and bifurcation of periodic travelling waves in derivative nonlinear Schroedinger equations2009
- Author(s)
  Sakamoto Kunimochi
- Organizer
  2nd International Conference on Reaction-Diffusion Systems and Viscosity Solutions
- Place of Presentation
  Providence University(沙鹿市、台湾)
- Year and Date
  2009-07-14
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] 蔵本モデルの定常解-振動数分布の非対称性と特異摂動の観点から-2009
- Author(s)
  Sakamoto Kunimochi
- Organizer
  京都大学結合系セミナー
- Place of Presentation
  京都大学
- Year and Date
  2009-03-18
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Stability and Bifurcation of Periodic Waves in a Hamiltonian PDE2009
- Author(s)
  坂元国望
- Organizer
  国際研究集会SNP2009
- Place of Presentation
  関西セミナーハウス(京都)
- Year and Date
  2009-11-02
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] 蔵本モデルの定常解 -振動数分布の非対称性と特異摂動の観点から-2009
- Author(s)
  坂元国望
- Organizer
  京都大学結合系セミナー
- Place of Presentation
  京都大学理学研究科
- Year and Date
  2009-03-18
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Stability and Bifurcation of Periodic Waves in a Hamiltonian PDE2009
- Author(s)
  Sakamoto Kunimochi
- Organizer
  国際研究集会SNP2009
- Place of Presentation
  関西セミナーハウス(京都市)
- Year and Date
  2009-11-02
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Stability and bifurcation of periodic travelling waves in derivative nonlinear Schroedinger equations2009
- Author(s)
  坂元国望
- Organizer
  2^<nd> International Conference on Reaction-Diffusion Systems and Viscosity Solutions
- Place of Presentation
  Providence University (台湾)
- Year and Date
  2009-07-14
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] 蔵本モデルにおける特異摂動問題2008
- Author(s)
  Sakamoto Kunimochi
- Organizer
  盛岡応用数学小研究集会
- Place of Presentation
  岩手大学
- Year and Date
  2008-12-14
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] 蔵本モデルにおける特異摂動問題2008
- Author(s)
  坂元国望
- Organizer
  盛岡応用数学小研究集会
- Place of Presentation
  岩手大学人文社会科学部
- Year and Date
  2008-12-14
- Data Source
  KAKENHI-PROJECT-20540212
[Presentation] Diffusion Equation under Dynamic Boundary Conditions
- Author(s)
  Kunimochi Sakamoto
- Organizer
  The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Universidad Autonoma de Madrid, Spain
- Year and Date
  2014-07-07 – 2014-07-11
- Data Source
  KAKENHI-PROJECT-25400171
[Presentation] Destabilizations of Turing-type under equal diffusivity
- Author(s)
  Kunimochi Sakamoto
- Organizer
  Nonlinear Dynamics with Applications to Biology, An NCTS International Conference
- Place of Presentation
  National Tsing-Hua University, Taiwan
- Year and Date
  2014-05-28 – 2014-05-30
- Invited
- Data Source
  KAKENHI-PROJECT-25400171
[Presentation] Generalized Steklov Eigenvalues for the Laplacian
- Author(s)
  Kunimochi Sakamoto
- Organizer
  Modern Problems in Mathematical Physics
- Place of Presentation
  Faculty of Physics, Moscow State University, Russia
- Year and Date
  2014-11-28 – 2014-11-29
- Data Source
  KAKENHI-PROJECT-25400171
[Presentation] Steklov eigenvalue problems arising in diffusion systems under dynamic boundary conditions
- Author(s)
  坂元国望
- Organizer
  京都大学非線形偏微分方程式セミナー
- Place of Presentation
  京都大学理学研究科
- Invited
- Data Source
  KAKENHI-PROJECT-25400171

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Sakamoto Kunimochi 坂元 国望

SAKAMOTO Kunimoch 坂元 国望

SAKAMOTO Kunimochi 坂元 国望

坂本 国望 サカモト クニモチ

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境界上の相互作用に依って駆動される拡散系の力学系的研究Principal Investigator

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Dynamical system approach to the transition structure between asymptotic Turing patterns and the generation of Turing patternsPrincipal Investigator

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Unified Study of Turing type InstabilityPrincipal Investigator

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Reaction Diffusion Dynamics in non-homogeneous mediaPrincipal Investigator

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Asymptotic Analysis and Applications of Transition Layers and InterfacesPrincipal Investigator

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Asymtotic Analysis of Transition Layers Intersecting the BoundaryPrincipal Investigator

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Internal Transition Layrs for semilinear elliptic systems and a related free boundary problemPrincipal Investigator

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Sakamoto Kunimochi 坂元国望

SAKAMOTO Kunimoch 坂元国望

SAKAMOTO Kunimochi 坂元国望

坂本国望サカモトクニモチ