Research keywords (6)：
blow-up of solutions
, interface motion
, traveling waves
, qualitative theory
, reaction-diffusion systems
, nonlinear partial differential equations
Research theme for competitive and other funds (40)：
2018 - 2018 Qualitative study on model equations arising in mathematical biology from a viewpoint of the bifurcation theory
2014 - 2017 Studies of the interface motion and the signal propagation mechanism in the bidomain model
2014 - 2017 Stochastic analytic study on Kardar-Parisi-Zhang equation
2011 - 2016 Qualitative theory of nonlinear partial differential equations and the analysis of singularitiesof
2012 - 2015 Mathematical analysis of interfacial dynamics in non-periodic environments and its applications
2010 - 2015 Stochastic analysis on large scale interacting systems and its applications
2009 - 2011 Study on stochastic partial differential equations with singular coefficients
2008 - 2011 Mathematical Analysis for competition between species in heterogeneous environment
2008 - 2010 Analysis of interface motion and blow-up phenomena in nonlinear partial differential equations
2006 - 2010 Mathematical Theory of Nonlinear-Non-equilibrium Reaction-Diffusion Systems
2005 - 2007 Interface motion and blow-up phenomena in nonlinear partial differential equations
2005 - 2007 非線形偏微分方程式に関する逆問題と逆散乱理論
2003 - 2005 Mathematical Approach to Nonlinear-Non-equilibrium Phenomena - Understanding of Transient Spatio-temporal Patterns-
2001 - 2004 Qualitative theory and asymptotic analysis of nonlinear partial differential equations
1999 - 2002 Study of the Mathematical structure of singularities
1999 - 2002 Understanding of singularities arising in nonlinear nonequilibrium phenomena
1998 - 1999 Analysis of non-linear singularities by microlocal methods
1997 - 1999 Relations between geometric invariant and singularity of solution in nonlinear evolution equations related to nonlinear waves
1997 - 1999 Study of singularities arising in nonlinear partial differential differential equations and asymptotic methods
1996 - 1999 Mathematical Studies of singularities governed by nonlinear phenomena
1996 - 1998 Research of the hydrodynamic limit by probabilistic methods
1996 - 1996 金利の期間構造と確率偏微分方程式
1996 - 1996 非線形現象に関連した非線形偏微分方程式における解の特異性の生成とその性質
1995 - 1996 Analysis of the structure of solutions of nonlinear partial differential equations
1995 - 1996 STUDY ON INFINITE TRANSFORMATION GROUPS ON MANIFOLDS
1994 - 1995 Research on differential operators in infinite dimensional spaces with symmetry
1994 - 1994 非線形現象に関連した非線形偏微分方程式における解の特異性の生成とその性質
1994 - 1994 無限群の幾何的理論の研究
1994 - 1994 無限自由度の可積分系に関連した非線形波動現象の解析的研究
1993 - 1994 GEOMETRIC STUDY OF VARIATIONS ON INFINITE DIMENSIONAL MANIFOLDS
1992 - 1992 自然科学に現われる非線形現象の解明の総合的研究
1992 - 1992 無限自由度の可積分系に関連した非線波動現象の解析的研究
1991 - 1991 非線型偏微分方程式の解の構造の解析
1990 - 1990 非線型偏微分方程式の解の構造の解析およびその構造
1990 - 1990 多様体の微分同相群の研究
1989 - 1990 Study of Nonlinear Partial Differential Equations from the View Point of Functional Analysis
1989 - 1989 不規則媒質中の微分方程式
1988 - 1989 Visualization-system of spatio-temporal patterns in natural sciences
1986 - 1986 非線形微分方程式の解の構造についての数学的研究
1985 - 1985 非線型偏微分方程式の解の構造の解析, およびその応用
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Papers (79)：
Hiroshi Matano, Yoichiro Mori, Mitsunori Nara. Stability of Front Solutions of the Bidomain Allen-Cahn Equation on an Infinite Strip. SIAM Journal on Mathematical Analysis. 2023. 55. 3. 1545-1595
Hiroshi Matano, Yoichiro Mori, Mitsunori Nara, Koya Sakakibara. Asymptotic Behavior of Fronts and Pulses of the Bidomain Model. SIAM Journal on Applied Dynamical Systems. 2022. 21. 1. 616-649
Danielle Hilhorst, Hiroshi Matano, Thanh Nam Nguyen, Hendrik Weber. Generation of interface for solutions of the mass conserved Allen--Cahn equation. SIAM J. Math. Anal. 2020. 52. 3. 2624-2654
Weiwei Ding, Hiroshi Matano. Dynamics of time-periodic reaction-diffusion equations with front-like initial data on R. SIAM J. Math. Anal. 2020. 52. 3. 2411-2462
M. Alfaro, D. Antonopoulou, G. Karali, H. Matano. Generation of fine transition layers and their dynamics for the stochastic Allen--Cahn equation. arXiv preprint. 2018
Yihon Du, Hiroshi Matano. Radial terrace solutions and propagation profile of multistable reaction-diffusion equations over R^N. arXiv preprint. 2017
俣野 博. 力学系に現れる無限. 数理科学. 2017
Peter Bates, Danielle Hilhorst, Hiroshi Matano, Yoshihisa Morita. Discrete and Continuous Dynamical Systems: Preface. Discrete and Continuous Dynamical Systems- Series A. 2017. 37
Memory of Mayan
(ReaDiNet 2021: An Online Conference on Recent Topics in Reaction-Diffusion System, Biology, Medicine and Chemistry 2021)
Stability of fronts in bidomain models
(Nonlinear Elliptic and Parabolic Equations with Applications --- Dedicated to Professor Yihong Du on the Occasion of His 60th Birthday 2021)
Propagation of bistable fronts through a perforated wall
(Harbin Institute of Technology 100th Anniversary Summer school (Online) 2020)
Existence of a multi-solition solution for the critical nonlinear heat equation
(Singular Problems, Blow-up, and Regimes with Peaking in Nonlinear PDEs 2019)
Propagation of bistable fronts through a perforated wall
(Calculus of Variations: A celebration of Paul Rabinowitz’s 80th birthday 2019)
1971 - 1975 Kyoto University Faculty of Science Faculty of Science
Professional career (1)：
Doctor of Science (Kyoto University)
Work history (7)：
2018/01 - 現在 Meiji University Organization for the Strategic Coordination of Research and Intellectual Properties
1992/04 - 2017/12 The University of Tokyo Graduate School of Mathematical Sciences
1991/04 - 1992/03 The University of Tokyo Faculty of Science
1988/04 - 1991/03 The University of Tokyo Faculty of Science
1985/12 - 1988/03 Hiroshima University Faculty of Science
1982/04 - 1985/11 Hiroshima University Faculty of Science
1979/04 - 1982/03 The University of Tokyo Faculty of Science
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Committee career (4)：
1997/04 - 2012/03 数理経済学会 運営委員
2009/04 - 2010/03 東京大学大学院数理科学研究科 数理科学専攻長,理学部数学科長
2002/04 - 2004/03 数理経済学会 会長
1997/04 - 1999/03 日本数学会 評議員
Awards (1)：
1990/04 - 社団法人日本数学会 日本数学会賞春季賞
Association Membership(s) (4)：
数学教育学会
, The Japanese Society for Mathematical Economics
, THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
, THE MATHEMATICAL SOCIETY OF JAPAN
