Rchr

J-GLOBAL ID：200901078737487960 Update date: Jul. 15, 2024

Morita Yoshihisa

モリタヨシヒサ | Morita Yoshihisa

Affiliation and department：
Job title： Visiting Researcher
Homepage URL (2)： http://www.math.ryukoku.ac.jp/~morita/ , http://www.math.ryukoku.ac.jp/~morita

Research field (2)： Applied mathematics and statistics , Basic mathematics

Research keywords (8)： Pattern formation , Biomathematics , Dynamical System , Differential equations , Nonlinear analysis , Applied analysis , 微分方程式 , 応用解析

Research theme for competitive and other funds (50)：

2022 - 2025 Study for pattern formations and dynamics arising in reaction-diffusion systems with conservation law
2019 - 2023 Research on the global structure of solutions and their stability for nonlocal boundary value problems by using elliptic functions
2018 - 2022 生命科学におけるパターン形成の新しいモデルと数学的解析手法の確立
2015 - 2019 Pursuit of explicit representation formula using elliptic and analysis of the global bifurcation structure
2014 - 2019 近平衡数理モデルの解析的研究

2014 - 2017 生命科学に表れる散逸系数理モデルの数学的基盤の構築と応用

2012 - 2015 Research on profiles and the global bifurcation structure by explicit representation formula using elliptic functions

2005 - 2015 Pattern formations and dynamics in reaction-diffusion equations and Ginzburg-Landau equations

2012 - 2014 反応拡散方程式系におけるアトラクタの崩壊と遷移過程の新しい理論の確立

2010 - 2013 散逸系の局在パターン生成における非局所的効果の数理的研究と応用

2009 - 2011 Differential equations reduced to transcendental equations including complete elliptic integrals and their global solution structure

2009 - 2011 多次元空間における反応拡散方程式の全域解の特徴付けと存在理論の構築

2007 - 2009 超伝導やBEC現象の数理モデルにおける分岐構造と遷移ダイナミクスの解明

2007 - 2008 無限領域における非線形拡散方程式の解が生成する散逸力学系の解明に向けて

2006 - 2008 Research on the stability and asymptotic shapes of nonlocal nonlinear boundary value problems including unknown definite integrals

2005 - 2008 Spectral analysis of elliptic operators with singular domain deformation and coefficients degeneration

2006 - 2007 The relation between the solutions and the nonlinearities in reaction diffusion systems

2003 - 2005 Global solution structure and the stability of nonlocal nonlinear second order boundary value problems with definite integrals

2003 - 2005 Solution structure around bifurcation points of co-dimension 2

2003 - 2005 超伝導モデルの数理的研究

2001 - 2003 Research on Systems of Partial Differential Equations Appling the Abstract Algebra

2001 - 2003 Poincare-Bendixson type theoreom for holomorphic foliation of codimension one and its application

2001 - 2002 Analysis of partial differential equations arising in Material Science

2001 - 2002 薄膜領域におけるギンツブルグ・ランダウ方程式の渦糸解

2000 - 2002 Research on canonical forms to nonlinear elliptic boundary value problems and the global structure of all solutions including singular solutions

2000 - 2002 Mathematical Analysis of helical waves arising in some-reaction diffusion systems

2000 - 2002 Development of reaction-diffusion systems - Studies of singular limit methods -

2000 - 2001 熱対流におけるパターン選択メカニズムの数理的解明

1999 - 2000 ギンヅブルグ・ランダウ方程式の渦糸の安定性と数値解析

1999 - 1999 抽象的な代数を利用した偏微分方程式の研究

1997 - 1999 Nonlinear partial differential equations and infinite dimensional dynamical systems

1997 - 1999 Topological indices of dynamical systems

1997 - 1998 Global Bifurcation Structure of Nonlinear Dynamics of Domain Motion

1997 - 1998 Poincare-Bendixson type theorem for holomorphic vector fields and its applications

1997 - 1998 Resarchs on Solutions of Nonlinear Elliptic Equations and Numcrical Analysis

1996 - 1996 非線形楕円型方程式の解の大域的構造と領域依存性の研究

1996 - 1996 ギンツブルグランダウ方程式の解の構造の研究

1996 - 1996 力学系の位相的指標の研究

1996 - 1996 正則ベクトル場に対するPoincare-Bendixson型定理とその応用の研究

1995 - 1995 力学系の大域的構造とその分岐の研究

1995 - 1995 Schrodinger型方程式の可解条件と解の構造の研究

1994 - 1995 Study on global property of holomorphic vector fields

1993 - 1995 Analysis and Computation of Nonlinear Structures

1994 - 1994 散逸力学系の構造の研究と微分方程式への応用

1993 - 1993 領域の非線形振動と引き込み現象

1993 - 1993 散逸力学系の構造の研究と微分方程式への応用

1992 - 1992 周期的環境下での数理解析

1991 - 1991 界面化学反応に関連した数理モデルの研究

1990 - 1990 双曲型方程式系の初期値問題の可解性

1987 - 1988 生物モデルに現れる時間遅れのある非線形微分方程式の数学的解析

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Papers (116)：

Bendong Lou, Yoshihisa Morita. Asymptotic behaviour for solutions to reaction-diffusion equations on a root-like metric graph ^*. Nonlinearity. 2024. 37. 7. 075011-075011
Shuichi Jimbo, Yoshihisa Morita. Front propagation in the bistable reaction-diffusion equation on tree-like graphs. Journal of Differential Equations. 2024. 384. 93-119
Yoshihisa Morita, Ken-Ichi Nakamura, Toshiko Ogiwara. Front propagation and blocking for the competition-diffusion system in a domain of half-lines with a junction. Discrete and Continuous Dynamical Systems - B. 2023. 28. 12. 6345-6361
Yoshihisa Morita, Yoshitaro Tanaka. Existence of spiky stationary solutions to a mass-conserved reaction-diffusion model. Japan Journal of Industrial and Applied Mathematics. 2023. 41. 1. 681-722
Yoshihisa Morita. Front Profile in Time Backward for the Bistable Reaction-Diffusion Equation on Metric Graphs. Journal of Dynamics and Differential Equations. 2023

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MISC (102)：

森田善久. 変分的構造をもつ反応拡散系と安定性解析 (パターン形成と界面ダイナミクスの数理). 数理解析研究所講究録. 2015. 1979. 1-36
Morita Yoshihisa. Spectrum comparison in a system of reaction-diffusion equations with conservation property (Nonlinear Partial Differential Equations, Dynamical Systems and Their Applications). RIMS Kokyuroku. 2014. 1881. 38-42
森田善久. 超伝導のギンツブルク・ランダウ方程式とその解について (オイラー方程式の数理 : カルマン渦列と非定常渦運動100年). 数理解析研究所講究録. 2012. 1776. 158-162
Yoshihisa Morita. SPECTRUM COMPARISON FOR A CONSERVED REACTION-DIFFUSION SYSTEM WITH A VARIATIONAL PROPERTY. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION. 2012. 2. 1. 57-71
森田善久. 現象から方程式を創り出す--立式で鍛える論理的思考法(13)ギンツブルク・ランダウ方程式と超伝導現象. 数理科学. 2011. 49. 2. 70-76

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Books (5)：

生物リズムと力学系
共立出版 2011 ISBN:9784320110007
岩波数学叢書ギンツブルク-ランダウ方程式と安定性解析
岩波書店 2009 ISBN:9784000075619
Ginzburg-Landau Equations and Stability Analysis (in Japanese)
Iwanami-shoten 2009
カオス全書3 生物モデルのカオス
朝倉書店 1996 ISBN:4254126735
Chaos in Biological Models (in Japanese)
Asakura-shoten 1996

Lectures and oral presentations (128)：

Reaction-diffusion systems and pattern formations -Emerging structure of solutions under constraint-
(The Mathematical Society of Japan 2021)
Segregation pattern in a mathematical model of cell polarity
(The Eighth Pacific Rim Conference in Mathematics 2020)
Front-like entire solutions of reaction-diffusion equations
(2019)
Turing-type instability and stable pattern in a bulk-membrane diffusion model with mass conservation
(Seminar in Academy of Mathematics & Systems Science, Chinese Academy of Sciences 2019)
Patterns induced by diffusion in reaction-diffusion systems with mass conservation
(9th International Congress on Industrial and Applied Mathematics - ICIAM 2019 2019)

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Education (2)：

- 1987 Kyoto University Faculty of Science Mathematical Analysis
- 1987 Kyoto University

Professional career (2)：

Doctor of Science (Kyoto University)
Master of Science

Work history (7)：

2020/04 - 2023/03 Ryukoku University Faculty of Advanced Science and Technology Course of Applied Mathematics and Informatics Professor
1998/04 - 2020/03 Ryukoku University Faculty of Science and Technology, Department of Applied Mathematics and Informatics
2016/09 - 2017/03 Universite Paris-Sud Departement de Mathematiques d'Orsay Visiting Professor
2016/04 - 2016/08 Ecole Polytechnique Federale de Lausanne Institut de mathematiques d'analyse et applications Visiting Professor
1993/04 - 1998/03 Ryukoku University Faculty of Science and Technology, Department of Applied Mathematics and Informatics

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Committee career (10)：

2013/07 - 2015/06 日本数学会教育研究資金問題検討委員会委員長
2012/07 - 2015/06 日本数学会教育研究資金問題検討委員会運営委員
2010/08 - 2012/07 日本学術振興会特別研究員等審査会専門委員
2007/03 - 2009/02 日本数学会応用数学分科会評議委員
2004/10 - 2008/09 日本数学会応用数学分科会委員会委員

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Association Membership(s) (4)：

日本数理生物学会 , 米国数学会(AMS) , 応用数理学会(SIAM) , 日本数学会

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