Watanabe Hiroshi

ワタナベヒロシ | Watanabe Hiroshi

Affiliation and department：
Homepage URL (1)： http://kaken.nii.ac.jp/d/r/30609912.ja.html

Research field (2)： Mathematical analysis , Basic analysis

Research keywords (14)：退化拡散 , 有界変動関数 , 結晶粒界現象 , 変分法 , 非線形偏微分方程式 , 関数解析 , 実解析 , Entropy Solutions , Nonlinear Evolution Equations , Nonlinear Analysis , リプシッツ作用素半群 , 適切性 , 放物型方程式 , 非線形境界条件

Research theme for competitive and other funds (7)：

2021 - 2025 特異性を伴う非線形偏微分方程式の解構造に着目した数学解析
2020 - 2023 Evolution operators with non-densely defined generators and its applications
2016 - 2021 Mathematical Analysis for Thermoelasticity and Thermoelastoplasticity
2017 - 2020 Studies on well-posedness for quasilinear partial differential equations with constraints
2014 - 2017 Well-posedness for partial differential equations with time-dependent constraints

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Papers (21)：

Salvador Moll, Ken Shirakawa, Hiroshi Watanabe. Existence of Solutions to a Phase-Field Model of 3D Grain Boundary Motion Governed by a Regularized 1-Harmonic Type Flow. Journal of Nonlinear Science. 2023. 33. 5
Hiroshi Watanabe. Particular solutions to one-dimensional Cauchy problems for scalar parabolic-hyperbolic conservation laws and their applications. Nonlinear Differential Equations and Applications NoDEA. 2022. 29. 4
Salvador Moll, Ken Shirakawa, Hiroshi Watanabe. Kobayashi-Warren-Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation. Nonlinear Analysis. 2022. 217. 112722-112722
Hiroshi Watanabe. Traveling waves to one-dimensional Cauchy problems for scalar parabolic-hyperbolic conservation laws. J. Differential Equations. 2021. 286. 474-493
Hiroshi Watanabe, Ken Shirakawa. Energy-dissipation in a coupled system of Allen--Cahn type equation and Kobayashi--Warren--Carter type model of grain boundary motion. Mathematical Methods in the Applied Sciences. 2020. 43. 17. 10138-10167

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MISC (34)：

渡邉紘, S.Moll, 白川健. 3次元結晶粒界運動のフェーズフィールドモデルに対する解の時間大域的挙動. 第49回発展方程式研究会予稿集. 2023. 87-90
渡邉紘, 白川健, S. Moll. 結晶粒界現象を記述する3次元モデルの解の存在. 第48回発展方程式研究会予稿集. 2022. 42-45
渡邉紘. 放物型・双曲型単独保存則に対するOleinik型エントロピー評価. 第47回発展方程式研究会予稿集. 2021. 36-38
渡邉紘. 放物型・双曲型単独保存則の1次元初期値問題に対する複数の不連続点を持つ進行波. 第46回発展方程式研究会予稿集. 2020. 81-83
渡邉紘. 放物型・双曲型単独保存則に対する1次元初期値問題の進行波の構成. 第45回発展方程式研究会予稿集. 2019. 86-89

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Lectures and oral presentations (122)：

結晶粒界現象を記述する3次元モデルの可解性と解挙動
(Workshop on Analysis in Kagurazaka 2024 2024)
3次元結晶粒界運動のフェーズフィールドモデルに対する解の時間大域的挙動
(第49回発展方程式研究会 2023)
Existence, uniqueness and structure of entropy solutions to parabolic-hyperbolic conservation laws
(RIMS Conference Multidisciplinary Research on Nonlinear Phenomena: Modeling, Analysis and Applications 2023)
Global existence and large-time behavior of solutions to a 3D-model associated with grain boundary motion
(2023)
結晶粒界現象を記述する3次元モデルの時刻無限大における解挙動
(日本数学会2023年度秋季総合分科会, 実函数論分科会 2023)

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Education (2)：

2007 - 2010 Chuo University
2005 - 2007 Chuo University

Professional career (1)：

博士(理学) (中央大学)

Work history (4)：

2017/04 - 現在 Oita University Faculty of Science and Technology , Department of Integrated Science and Technology
2016/04 - 2017/03 Oita university Faculty of Engineering, Department of Computer Science and Intelligent Systems Associate Professor
2014/04 - 2016/03 Salesian Polytechnic Department og General Education Associate Professor
2011/04 - 2014/03 Salesian Polytechnic Department of General Education Assistant Professor

Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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