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 - 2026 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 (25)：

Salvador Moll, Ken Shirakawa, Hiroshi Watanabe. Existence and uniqueness results for phase-field systems of grain boundary motion with 3D-crystalline orientation. Interfaces and Free Boundaries. 2026. to appear
Hiroyoshi Mitake, Hiroshi Watanabe. On equivalence of entropy and viscosity solutions to degenerate parabolic equations and applications. Proceedings of the American Mathematical Society. 2025. 153. 11. 4845-4857
Hiroshi Watanabe. N-wave-like properties for entropy solutions to scalar parabolic-hyperbolic conservation laws. Nonlinear Analysis: Real World Applications. 2024. (Available online)
Salvador Moll, Ken Shirakawa, Hiroshi Watanabe. Large-time behavior for a phase-field system of 3D-grain boundary motion. SIAM Journal on Mathematical Analysis. 2024. 56. 5. 6885-6914
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

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MISC (36)：

Global existence and large-time behavior of solutions to a 3D-model associated with grain boundary motion. 2024. 2298. 45-67
三竹大寿, 渡邉紘. 放物型-双曲型方程式のエントロピー解と退化粘性Hamilton-Jacobi方程式の粘性解の同値性とその応用. 第50回発展方程式研究会予稿集. 2024. 49-52
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

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Lectures and oral presentations (134)：

異方性を伴う結晶粒界現象を記述する3次元モデルの解の存在
(第51回発展方程式研究会 2025)
Equivalence of entropy and viscosity solutions to degenerate parabolic equations and its applications
(2025)
異方性を伴う結晶粒界現象を記述する3次元モデルの解の存在
(日本数学会2025年度秋季総合分科会実函数論分科会 2025)
放物型-双曲型方程式のエントロピー解と退化粘性Hamilton-Jacobi方程式の粘性解の同値性と解の挙動への応用
(応用解析研究会 2025)
Uniqueness of nonlinear parabolic systems involving regularized 1-harmonic type flows
(日本数学会2025年度年会実函数論分科会 2025)

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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 (5)：

2023/04 - 現在大分大学理工学部理工学科数理科学プログラム准教授
2017/04 - 2023/03 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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