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 - 2024 Mathematical analysis of pattern dynamics of reaction-diffusion systems and their singular limit problems
2020 - 2024 Traveling fronts whose cross sections are convex shapes with major axes and minor axes in balanced bistable reaction-diffusion equations
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
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 (31)：
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
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
