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J-GLOBAL ID:200901011660587551   Update date: Jan. 30, 2024

Matsuzawa Hiroshi

マツザワ ヒロシ | Matsuzawa Hiroshi
Affiliation and department:
Job title: Professor
Homepage URL  (2): https://www.sci.kanagawa-u.ac.jp/math-phys/hmatsu/index.htmlhttps://www.sci.kanagawa-u.ac.jp/math-phys/hmatsu/index-e.html
Research field  (1): Mathematical analysis
Research keywords  (11): free boundary problem ,  フロント解 ,  偏微分方程式 ,  遷移層 ,  不変多様体 ,  非線形偏微分方程式 ,  双安定 ,  Allen-Cahn方程式 ,  反応拡散方程式 ,  Reaction Diffusion Equations ,  Nonlinear Partial Differential Equations
Research theme for competitive and other funds  (9):
  • 2021 - 2027 Quantitative analysis for nonlinear evolution equations of diffusion type
  • 2020 - 2024 Propagation phenomena in reaction-diffusion equations involving nonlinear diffusion and multi-stable reaction term
  • 2017 - 2020 数理生態学に現れる自由境界問題の解の形状と伝播現象の解明
  • 2012 - 2013 自然科学に現れる非線形楕円型・放物型偏微分方程式に関する研究
  • 2008 - 2013 空間非斉次性を含む反応拡散系の局在パターンのダイナミクスに関する研究
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Papers (19):
  • Yuki Kaneko, Hiroshi Matsuzawa, Yoshio Yamada. A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions II: Asymptotic profiles of solutions and radial terrace solution. Journal de Mathematiques Pures et Appliquees. 2023
  • Yuki Kaneko, Hiroshi Matsuzawa, Yoshio Yamada. A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions III: General case. Discrete and Continuous Dynamical Systems. 2023
  • Hiroshi Matsuzawa, Mitsunori Nara. Asymptotic behavior of spreading fronts in an anisotropic multi-stable equation on $ \mathit{\boldsymbol{\mathbb{R}^N } } . Discrete and Continuous Dynamical Systems. 2022. 42. 10. 4707-4707
  • Yuki Kaneko, Hiroshi Matsuzawa, Yoshio Yamada. A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions I : Classification of asymptotic behavior. Discrete & Continuous Dynamical Systems. 2022. 42. 6. 2719-2745
  • Hiroshi Matsuzawa, Harunori Monobe, Masahiko Shimojo, Eiji Yanagida. Convergence to a traveling wave in the lgarithmic diffusion equation with a bistable nonlinearity. Indiana University Mathematics Journal. 2022. 71. 1. 125-151
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MISC (6):
  • Matsuzawa Hiroshi. Spreading speed and profile for nonlinear diffusion problems with free boundaries (Geometry of solutions of partial differential equations). RIMS Kokyuroku. 2014. 1896. 64-78
  • Kurata Kazuhiro, Matsuzawa Hiroshi. Multiple stable patterns in a balanced bistable equation with heterogeneous environments (Variational Problems and Related Topics). RIMS Kokyuroku. 2008. 1591. 134-142
  • Matsuzawa Hiroshi. On stationary solutions with transition layers for a bistable reaction diffusion equation. Memoirs of Numazu College of Technology. 2007. 41. 213-218
  • Matsuzawa Hiroshi. Asymptotic profile of a radially symmetric solution with transition layers for an unbalanced bistable equation(Mathematical Models of Phenomena and Evolution Equations). RIMS Kokyuroku. 2006. 1475. 107-120
  • Matsuzawa Hiroshi. Stable transition layers in a balanced bistable equation with degeneracy (Variational Problems and Related Topics). RIMS Kokyuroku. 2004. 1405. 155-174
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Books (8):
  • はじめて学ぶベクトル空間
    大日本図書 2016
  • 微分積分2(高専テキストシリーズ)
    森北出版 2012
  • 線形代数問題集(高専テキストシリーズ)
    森北出版 2012
  • 線形代数(高専テキストシリーズ)
    森北出版 2012
  • 微分積分1問題集(高専テキストシリーズ)
    森北出版 2012
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Lectures and oral presentations  (36):
  • Asymptotic profiles of solutions and propagating terrace for a free boundary problem of a multistable reaction-diffusion equation
    (微分方程式の総合的研究 2019)
  • Asymptotic profiles of solutions and propagating terrace for free boundary problems of multistable reaction diffusion equations
    (Qualitative Theory on Nonlinear Partial Differential Equations 2019)
  • Spreading and vanishing for a free boundary problem of a reaction diffusion equation with a multi-stable type nonlinearity in high space dimensions
    (Recent Trends in Ordinary Differential Equations and Their Developments 2019)
  • 多安定型非線形項をもつ反応拡散方程式の自由境界問題とその解の漸近的形状について
    (多安定型非線形項をもつ反応拡散方程式の自由境界問題とその解の漸近的形状について 2019)
  • Asymptotic profiles of solutions and propagating terrace for a free boundary problem of reaction diffusion equation with a nonlinearity of multi-stable type
    (Mini Workshop on Reaction Diffusion Equations 2019)
more...
Professional career (1):
  • Ph.D (Tokyo Metropolitan University)
Work history (6):
  • 2022/04 - 現在 Kanagawa University Faculty of Science Department of Mathematics and Physics Professor
  • 2020/04 - 2022/04 Kanagawa University Faculty of Science Department of Mathematics and Physics Associate Professor
  • 2013/04 - 2020/03 National Institute of Technology, Numazu College Division of Liberal Arts Associate Professor
  • 2012/04 - 2013/03 School of Science and Technology(Mathematics and Statistics), University of New England Visiting Scholor
  • 2005/04 - 2013/03 National Institute of Technology, Numazu College Division of Liberal Arts Lecturer
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Association Membership(s) (1):
日本数学会
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