Kimura Masato

キムラマサト | Kimura Masato

Affiliation and department：
Homepage URL (1)： https://sites.google.com/site/masatowebe/

Research field (2)： Applied mathematics and statistics , Basic mathematics

Research keywords (7)： Industrial Mathematics , Fracture Mechanics , Free Boundary Problem , Partial Differential Equation , Numerical Analysis , Mathematical Modeling , Applied Mathematics

Research theme for competitive and other funds (34)：

2024 - 2029 Evolution equations describing singularities of non-equilibrium systems beyond the linear-response regime and development of nonlocal-nonlinear analysis
2021 - 2025 Effective use of multi-precision arithmetic on floating number system of digital computers aiming at numerical computations of differential equations with singulari or ill-posedness
2020 - 2025 New trends of energy gradient flow: mathematical aspects and various phenomena and applications
2020 - 2025 Mathematical analysis of inverse problems and modelling for complex fluids and diffusion in heterogeneous media
2020 - 2024 Evolution equations describing non-standard irreversible processes --Analysis on singularities emerging in the dynamics of solutions--

2017 - 2021 Mathematical modeling and analysis of discontinuous phenomena in continuum body

2016 - 2021 Mathematical Sciences aiming at medical application of light propagation in biomedical tissues and related topics

2017 - 2020 Mathematics for wrinkle and crack -- from a viewpoint of energy variation --

2016 - 2020 Evolution equations describing non-standard irreversible processes

2016 - 2019 Mathematical and computational analysis of moving boundary problems arising in snow and ice phenomena

2016 - 2019 Theory and applications of shape optimization of singular points in continuum

2015 - 2019 Development of mathematical analysis for interface motions of crystals

2015 - 2018 転位ダイナミクスと塑性モデルの数学解析

2014 - 2017 Mathematical and Numerical Analysis for Variational Crack Propagation Model

2013 - 2015 Proposal of a new governing equation of crack propagation caused by change of temperature and its analysis

2011 - 2013 Construction of the theory of variation applicable to shape optimization problems and fracture, whose application to problems in engineering.

2009 - 2011 Study of crack propagation models and moving boundary problems

2006 - 2009 New topics for partial differential equations whose solution has singular sets

2006 - 2009 Mathematical studies on fluid motions under certain conditions

2004 - 2008 Development and analysis of high-quality numerical methods and simulation for flow problems

2004 - 2006 自由境界問題の離散化手法の新展開

2003 - 2005 Numerical and mathematical analysis to low-dimensional solutions in. mathematical fluid problems

2003 - 2005 Mathematical analysis for nonlinear partial differential equations with singular solutions

2003 - 2005 画像処理の数理における実解析的手法の探索

2001 - 2002 アダプティブメッシュ有限要素法による自由境界及び内部遷移層の数値解析

1999 - 2001 Researches on the diversity of growing patterns in biological systems

1999 - 2000 レベルセット法による移動境界問題の数値解析

1999 - 2000 楕円型境界値問題の高精度解法としての境界要素法

1998 - 1999 Mathematical Study of the Boundary Element Method and its Application to Inverse

1998 - 1999 Numerical and Mathemtical Analysis of the motion of vortices

1997 - 1999 Mathematical Studies of melting, solidification and growth phenomena in material science

1996 - 1999 Mathematical Studies of singularities governed by nonlinear phenomena

1997 - 1998 移動境界問題に対する実用的数値解法とその数学的誤差評価

1995 - 1997 Numerical Analysis for Ill-posed Problems Related with Engineering

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Papers (75)：

Masato Kimura, Takeshi Takaishi, Yoshimi Tanaka. What is the physical origin of the gradient flow structure of variational fracture models?. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2024
Yosuke Sunayama, Julius Fergy Tiongson Rabago, Masato Kimura. Comoving mesh method for multi-dimensional moving boundary problems: Mean-curvature flow and Stefan problems. Mathematics and Computers in Simulation. 2024. 221. 589-605
Aufa Rudiawan, Alexander Žák, Michal Beneš, Masato Kimura, Hirofumi Notsu. An energy estimate and a stabilized Lagrange-Galerkin scheme for a multiphase flow model. Applied Mathematics Letters. 2024. 153. 109059-109059
V. Apriliani, M. Kimura, H. Ohtsuka. Two-step minimization approach to an $L^\infty$-constrained variational problem with a generalized potential. Science Reports of Kanazawa University. 2024. 67. 57-68
Maarten V. de Hoop, Masato Kimura, Ching-Lung Lin, Gen Nakamura. Resolvent Estimates for Viscoelastic Systems of Extended Maxwell Type and Their Applications. SIAM J. Math. Anal. 2024. 56. 5. 5782-5806

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MISC (31)：

Alfat Sayandin, Kimura Masato, Firihu Muhammad, Zamrun, Rahmat. Numerical Investigation of Shape Domain Effect to Its Elasticity and Surface Energy Using Adaptive Finite Element Method. METALLURGY AND ADVANCED MATERIAL TECHNOLOGY FOR SUSTAINABLE DEVELOPMENT. 2018. 1964
高石武史, 田中良巳, 木村正人. フェーズフィールドを用いたき裂進展モデルとその拡張. 日本機械学会計算力学講演会論文集(CD-ROM). 2017. 30th. 0. ROMBUNNO.248
山本大輝, 木村正人, 田中良巳, 野津裕史. Maxwell粘弾性モデルの数値解析. 計算工学講演会論文集(CD-ROM). 2017. 22. ROMBUNNO.D-04-4
高石武史, 田中良巳, 木村正人. フェーズフィールドき裂進展モデルの拡張について. 2016年応用数学合同研究集会報告集. 2016. 430-433
山本昌宏, 木村正人, 川合亮平. 社会連携と数学 : 研究の新展開(第7回)歪取プロセスの最適なアルゴリズム構築(結)断面形状の決定. 数学セミナー. 2016. 55. 5. 66-72

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Education (4)：

1996 - Kyoto University Graduate School of Science, Division of Mathematics Doctor of Science
1992 - 1994 Kyoto University Graduate School of Science, Division of Mathematical Sciences Doctor Course
1990 - 1992 Kyoto University Graduate School of Science, Division of Mathematical Sciences Master Course
1986 - 1990 Kyoto University Faculty of Science

Professional career (1)：

Doctor of Science (Kyoto University)

Work history (7)：

2013/04 - 現在 Kanazawa University Faculty of Mathematics and Physics Professor
2011/04 - 2013/03 Kyushu University Institute of Mathematics for Industry Associate Professor
2001/11 - 2011/03 Kyushu University Faculty of Mathematics Associate Professor
2007/04 - 2008/03 Nečas Center for Mathematical Modeling (Czech Technical University in Prague) Visiting researcher
1996/10 - 2001/10 Hiroshima University Faculty of Science Lecturer

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Committee career (2)：

2016/10 - 2018/09 The Mathematical Society of Japan Committee member of Applied Mathematics Section
2016/10 - 2018/09 日本数学会応用数学分科会委員

Awards (1)：

1996/11 - The Mathematical Society of Japan The MSJ Takebe Katahiro Prize

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