Taniguchi Masaharu

タニグチマサハル | Taniguchi Masaharu

Affiliation and department：
Job title： Professor
Homepage URL (1)： http://www.math.okayama-u.ac.jp/~taniguchi/index-j.html

Research field (1)： Mathematical analysis

Research theme for competitive and other funds (26)：

2022 - 2027 Is it possible to mathematically formulate origami for materials with the property of stretching and shrinking?
2020 - 2025 Traveling fronts whose cross sections are convex shapes with major axes and minor axes in balanced bistable reaction-diffusion equations
2020 - 2024 Mathematical analysis of pattern dynamics of reaction-diffusion systems and their singular limit problems
2014 - 2019 An (N-2)-dimensional surface with positive principal curvatures gives an N-dimensional traveling front in bistable reaction-diffusion equations
2014 - 2018 Pattern dynamics of reaction-diffusion systems and free boundary problems

2012 - 2017 Systematic studies on the profile and behavior of solutions of partial differential equations

2011 - 2015 The Study of Nonlinear Functional Analysis and Nonlinear Problems Based on Fixed Point Theory and Convex Analysis

2011 - 2013 Three-dimensional cylindrically non-symmetric traveling fronts in reaction-diffusion equations

2007 - 2010 The Study of Nonlinear Functional Analysis and Convex Analysis and its Applications Based on Optimization Theory and Fixed Point Theory

2006 - 2009 Global stability of multi-dimensional traveling fronts

2005 - 2007 Interface motion and blow-up phenomena in nonlinear partial differential equations

2003 - 2006 Nonlinear functional analysis and nonlinear problems by using fixed point theory

2003 - 2005 Allen-Cahn方程式におけるV字型進行曲面波

2001 - 2004 Qualitative theory and asymptotic analysis of nonlinear partial differential equations

2001 - 2002 V字型の進行曲面波の漸近安定性

2000 - 2002 Nonlinear functional analysis and convex analysis problem by using fixed point theory

2000 - 2000 等速成長効果のある平均曲率流方程式における進行曲面波

1998 - 1999 自由境界問題における定常球の多重存在とその安定性

1997 - 1999 An Over-all Mathematical Study of the Nonlinear Boltzmann Equation and Fluid Dynamical Equations

1997 - 1999 Study of singularities arising in nonlinear partial differential differential equations and asymptotic methods

1997 - 1998 Mathematical Analysis of Infinite Dimensional Stochastic Models

1997 - 1998 Nonlinear problem by using fixed point theory

1996 - 1996 平面状進行波の不安定性

1995 - 1995 反応拡散方程式による直線状内部遷移層解からの解の分岐構造の研究

1995 - 1995 非線形特異摂動現象の数学解析と数値計算

1994 - 1994 非線形反応拡散方程式による直線状界面の解析

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Papers (32)：

Masaharu Taniguchi. Entire solutions with and without radial symmetry in balanced bistable reaction-diffusion equations. Mathematische Annalen. 2024. 390. 3. 3931-3967
Wah Wah, Masaharu Taniguchi. Traveling front solutions for perturbed reaction-diffusion equations. Mathematical Journal of Okayama University. 2023. 65. 125-143
Masaharu Taniguchi. Traveling fronts in balanced bistable reaction-diffusion equations. Advanced Studies in Pure Mathematics. 2020. 85. 417-428
Masaharu Taniguchi. Axisymmetric traveling fronts in balanced bistable reaction-diffusion equations. Discrete and Continuous Dynamical Systems. Series A. 2020. 40. 6. 3981-3995
Amy Poh Ai Ling, Masaharu Taniguchi. Existence and stability of stationary solutions to the Allen--Cahn equation discretized in space and time. 2020. 62. 197-210

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MISC (7)：

Taniguchi Masaharu. An $(N-2)$-dimensional surface with positive principal curvatures gives an $N$-dimensional traveling front in bistable reaction-diffusion equations (Mathematical Analysis of Pattern Formation Arising in Nonlinear Phenomena). RIMS Kokyuroku. 2014. 1924. 1-10
Takada Toshikazu, Taniguchi Masaharu. Encyclopedia of Modern Mathematical Science, The 2nd Edition. Bulletin of the Japan Society for Industrial and Applied Mathematics. 2010. 20. 4. 350-351
Taniguchi Masaharu. Pyramidal traveling fronts in the Allen-Cahn equations (Viscosity Solutions of Differential Equations and Related Topics). RIMS Kokyuroku. 2009. 1651. 92-109
Taniguchi Masaharu. Equadiff 2003. Bulletin of the Japan Society for Industrial and Applied Mathematics. 2004. 14. 1. 94-94
Ninomiya Hirokazu, Taniguchi Masaharu. Motion of forced curvature flow on the strip domain (Viscosity Solutions of Differential Equations and Related Topics). RIMS Kokyuroku. 2003. 1323. 27-32

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Books (3)：

Traveling front solutions in reaction-diffusion equations
Mathematical Society of Japan 2021 ISBN:9784864970976
現代数理科学事典
丸善 2009 ISBN:9784621081259
数学の言葉と論理
朝倉書店 2008 ISBN:9784254117516

Lectures and oral presentations (19)：

等エネルギー型反応拡散方程式における与えられた長軸と短軸をもつ凸図形を切断面とする進行波
(日本数学会2023年度秋季総合分科会 2023)
Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations
(The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications 2023)
Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations
(The 2022 Pacific Rim Mathematical Association Congress 2022)
Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations
(International Conference on Nonlinear Partial Differential Equations 2022 2022)
Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations
(BIRS workshop (22w5165) "Interfacial Phenomena in Reaction-Diffusion Systems" 2022)

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Education (3)：

1991 - 1993 The University of Tokyo Graduate School of Mathematical Sciences
1989 - 1991 The University of Tokyo Department of Applied Physics
1985 - 1989 The University of Tokyo Faculty of Science Department of Mathematics

Professional career (2)：

Doctor
Master of Engineering

Work history (6)：

2016/04 - 現在 Okayama University Research Institute for Interdisciplinary Science Professor
2013/04 - 2015/03 Okayama University Graduate School of Natural Science and Technology Professor
2007/04 - 2012/03 Tokyo Institute of Technology Associate Professor
2001/03 - 2007/04 Tokyo Institute of Technology Graduate School of Information Science and Engineering
1996/10 - 2001/02 Tokyo Institute of Technology Graduate School of Information Science and Engineering

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Committee career (10)：

2021/04 - 現在 An Editor of "Journal of Differential Equations"
2013/04 - 現在 An Editor of "Mathematical Journal of Okayama University"
2008/10 - 現在 An Editor of "Discrete and Continuous Dynamical Systems"
2022/04 - 2024/03 Research Institute for Interdisciplinary Science Chairman of Division of Quantum Univrerse
2020/04 - 2021/03 Department of Mathematics Chairman

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Association Membership(s) (4)：

日本応用数理学会 , 日本数学会 , The Japan Society of Industrial and Applied Mathematics , Mathematical Society of Japan

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