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Researcher Information

last modified:2021/11/29

Professor KIMURA, Masato

Laboratory Website

Faculty, Affiliation

Faculty of Mathematics and Physics, Institute of Science and Engineering Faculty of Mathematics and Physics, Course in Computational Science

College and School Educational Field

Division of Mathematical and Physical Science, Graduate School of Natural Science and Technology
Division of Mathematical and Physical Sciences, Graduate School of Natural Science and Technology
School of Mathematics and Physics, College of Science and Engineering


Phenomenal Mathematics and Analysis

Academic Background


Osaka Kyoiku University Faculty of Education Assistant Professor(1994/04/01-1996/09/30)
Hiroshima University Faculty of Science Associate Professor(1996/10/01-2001/10/31)
Kyushu University Faculty of Mathematics Associate Professor(2001/11/01-2011/03/31)
Kyushu University  Institute of Mathematics for Industry Associate Professor(2011/04/01-2013/03/31)
Kanazawa University Faculty of Mathematics and Physics Professor(2013/04/01-)

Year & Month of Birth

Academic Society

The Japan Society for Industrial and Applied Mathematics
The Mathematical Society of Japan
The Japan Society for Industrial and Applied Mathematics



Foundations of mathematics/Applied mathematics

Speciality Keywords

Research Themes


  •  M.Kimura Jindrich Necas Center for Mathematical Modeling Lecture notes Volume IV, Topics in Mathematical Modeling, Part 2: Geometry of hypersurfaces and moving hypersurfaces in R^m ---for the study of moving boundary problems--- 39 2008
  •  M.Kimura Jindrich Necas Center for Mathematical Modeling Lecture notes Volume IV, Topics in Mathematical Modeling, Part 1: Shape derivative of minimum potential energy: abstract theory and applications matfyzpress 1 2008


  •  Boundary Element Methods for Crack Problems M. Kimura Boundary Element Methods (Eds. S. Kobayashi, N. Nishimura), Proceedings of the IABEM Symposium (Kyoto, October, 1992), Springer-Verlag 176 1992
  •  Asymptotic estimation for the condition numbers in BEM M Kimura NUMERISCHE MATHEMATIK 73 2 209 1996/04
  •  Numerical analysis of moving boundary problems using the boundary tracking method Masato Kimura Japan Journal of Industrial and Applied Mathematics 14 3 373 1997
  •  Time local existence of a moving boundary of the Hele-Shaw flow with suction M Kimura EUROPEAN JOURNAL OF APPLIED MATHEMATICS 10 581 1999/12

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  •  A level set method using a signed distance function for the mean curvature flow M. Kimura,H. Notsu Transactions of the Japan Society for Industrial and Applied Mathematics 10 2 101 2000 
  •  Shape derivative and linearization of moving boundary problems M. Kimura GAKUTO International Series, Mathematical Sciences and Applications 13 167 2000
  •  A level set method using the signed distance function M. Kimura RIMS Kokyuroku 1145 95 2000/04
  •  移動境界問題の数値解析 木村 正人 数学 52 1 1 2000/01/28
  •  Numerical analysis of moving boundary problems M. Kimura Sugaku Expositions 15 1 71 2002
  •  A level set method using the signed distance function M Kimura,H Notsu JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 19 3 415 2002/10
  •  Stability analysis for Allen-Cahn type equation associated with the total variation energy K Shirakawa,M Kimura NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 60 2 257 2005/01
  •  New mathematical approach to the energy release rate in crack extension(Theory,Continuum Mechanics Focusing Singularities) Kimura Masato,Wakano Isao Trans. Japan Soc. Indust. Appl. Math. 16 3 345 2006
  •  Adaptive mesh finite element method for pattern dynamics in reaction-diffusion systems M.Kimura,H.Komura,M.Mimura,H.Miyoshi,T.Takaishi,D.Ueyama Proceedings of the Czech-Japanese Seminar in Applied Mathematics 2005, COE Lecture Note Vol.3, Faculty of Mathematics, Kyushu University, ISSN 1881-4043 56 2006
  •  Analytical and numerical aspects on motion of polygonal curves with constant area speed M. Bene\v{s,M. Kimura,S. Yazaki MAGIA 2007 Proceedings, Slovak University of Technology in Bratislava, ISBN 978-80-227-2796-10 127 2007
  •  Quantitative study of adaptive mesh FEM with localization index of pattern M.Kimura,H.Komura,M.Mimura,H.Miyoshi,T.Takaishi,D.Ueyama Proceedings of the Czech-Japanese Seminar in Applied Mathematics 2006, COE Lecture Note Vol.6, Faculty of Mathematics, Kyushu University, ISSN 1881-4043 114 2007
  •  Nonlinear Gauss-Seidel scheme for Allen-Cahn type systems M. Bene\v{s,R. Chabiniok,M. Kimura,K. Mikula MAGIA 2008 Proceedings, Slovak University of Technology in Bratislava 29 2007
  •  Stable marker-particle method for the Voronoi diagram in a flow field Tetsushi Nishida,Kokichi Sugihara,Masato Kimura JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 202 2 377 2007/05
  •  Application of a curvature adjusted method in image segmentation M. Bene\v{s,M. Kimura,P. Pau\v{s,D. \v{S}ev\v{c}ovi\v{c,T. Tsujikawa,S. Yazaki Bulletin of the Institute of Mathematics, Academia Sinica, New Series 3 4 509 2008
  •  Exponential decay phenomenon of the principal eigenvalue of an elliptic operator with a large drift term of gradient type Shuichi Jimbo,Masato Kimura,Hirofumi Notsu ASYMPTOTIC ANALYSIS 65 1-2 103 2009
  •  Second order numerical scheme for motion of polygonal curves with constant area speed Michal Benes,Masato Kimura,Shigetoshi Yazaki INTERFACES AND FREE BOUNDARIES 11 4 515 2009
  •  Truncation Error Analysis of Finite Difference Formulae in Meshfree Particle Methods K. Ishijima,M. Kimura Trans. Japan Soc. Indust. Appl. Math. 20 3 165 2010/09/25 
  •  Phase field model of mode III-type crack evolution and its energy estimation Takaishi Takeshi,Kimura Masato RIMS Kokyuroku 1719 21 2010/11
  •  フェーズフィールドモデルによる複雑な亀裂のシミュレーション T. Takaishi,M. Kimura 計算工学講演会論文集,査読無 16 B-1-3 2011
  •  Shape derivative of potential energy and energy release rate in fracture mechanics M. Kimura,I. Wakano Journal of Math-for-Industry 3 21 2011
  •  Phase field models for crack propagation M. Kimura,T. Takaishi Theoretical and Applied Mechanics Japan 56 85 2011
  •  Computational studies of non-local anisotropic Allen-Cahn equation M. Benes,S. Yazaki,M. Kimura Math. Bohem. 136 4 429 2011
  •  Differentiability of potential energies with a parameter and shape sensitivity analysis for nonlinear case: the p-Poisson problem K. Ohtsuka,M. Kimura JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 29 1 23 2012
  •  Polygonal Hele?Shaw problem with surface tension Masato Kimura,Daisuke Tagami,Shigetoshi Yazaki Interfaces and Free Boundaries 15 1 77 2013
  •  フェーズフィールド法による亀裂進展現象の数理モデリング 高石武史,木村正人 「科学・技術の研究課題への数学アプローチ 数学モデリングの基礎と展開」九州大学マス・フォア・インダストリ研究所 MIレクチャーノート 46 109 2013
  •  Vibration-fracture model for one dimensional spring-mass system K. Abe,M. Kimura Journal of Math-for-Industry 5 A 25 2013
  •  A mathematical model of fracture phenomena on a spring-block system Kimura Masato,Notsu Hirofumi RIMS Kokyuroku 1848 171 2013/08
  •  A phase field approach to mathematical modeling of crack propagation, Masato Kimura,Takeshi Takaishi A Mathematical Approach to ems of Science and Technology, Series of Mathematics for Industry, Springer 5 161 2014
  •  Shape derivative of cost function for singular point: Evaluation by the generalized J integral Hideyuki Azegami,Kohji Ohtsuka,Masato Kimura JSIAM Letters 6 29 2014
  •  Symmetry and positive definiteness of the tensor-valued spring constant derived from P1-FEM for the equations of linear elasticity Notsu, Hirofumi; Kimura, Masato Networks and Heterogeneous Media 9 4 617-634 2014/01/01 
  •  Numerical construction of energy-theoretic crack propagation based on a localized Francfort-Marigo model Armanda I,M. Kimura,T. Takaishi,Maharani A. U Recent Development in Computational Science 6 35 2015
  •  Shape optimization approach to a free boundary problem Maharani A. U,M. Kimura,H. Azegami,K. Ohtsuka,Armanda I Recent Development in Computational Science 6 42 2015
  •  計算手法の数理解析と現実問題への適用 き裂進展フェーズフィールドモデルとその数値解析 高石武史,木村正人 計算工学 20 3 3289 2015/07/31 
  •  An energy-consistent model of dislocation dynamics in an elastic body V. Chalupecky, M. Kimura Mathematical Challenges in a New Phase of Materials Science 53-68 2016
  •  Convergence of a threshold-type algorithm using the signed distance function K. Ishii, M. Kimura Interfaces Free Boundaries 18 479-522 2016 
  •  Shape Optimization Approach by Traction Method to Inverse Free Boundary Problems Shogen Shioda,Ahsani Ummi Maharani,Masato Kimura,Hideyuki Azegami,Kohji Ohtsuka MATHEMATICAL ANALYSIS OF CONTINUUM MECHANICS AND INDUSTRIAL APPLICATIONS 26 111 2017
  •  Comparing motion of curves and hypersurfaces in $\mathbb{R}^m$ J. Minarcik,M. Kimura,M. Benes DCDS-B 24 9 4815 2019
  •  Unidirectional evolution equations of diffusion type G. Akagi,M. Kimura J. Differential Equations 266 1 2019
  •  The gradient flow structure of an extended Maxwell viscoelastic model and a structure-preserving finite element scheme. M. Kimura,H. Notsu,Y. Tanaka,H. Yamamoto Journal of Scientific Computing 78 1111 2019
  •  A new Lagrange-Galerkin scheme for solving fluid flow in porous media I. Wijaya,M. Kimura,H. Notsu Journal of Physics Conference Series 1245 12007 2019
  •  Analysis of a projection method for the Stokes problem using an epsilon-Stokes approach Kimura Masato,Matsui Kazunori,Muntean Adrian,Notsu Hirofumi JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 36 3 959 2019/09 
  •  Chaos in nanomagnet via feedback current Taniguchi Tomohiro,Akashi Nozomi,Notsu Hirofumi,Kimura Masato,Tsukahara Hiroshi,Nakajima Kohei PHYSICAL REVIEW B 100 17 2019/11/21
  •  Regularity of the minimiser of one-dimensional interaction energies M. Kimura,P. van Meurs ESAIM: Control, Optimisation and Calculus of Variations 26 27 2020/03 
  •  Deformation Problem for Glued Elastic Bodies and an Alternative Iteration Method Masato Kimura,Atsushi Suzuki CoMFoS 2018: Mathematical Analysis of Continuum Mechanics and Industrial Applications III, Mathematics for Industry, Springer, 34 81 2020/08 
  •  Quantitative Estimate of the Continuum Approximations of Interacting Particle Systems in One Dimension. Masato Kimura,Patrick van Meurs SIAM J. Math. Anal. 53 1 681 2021 
  •  Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition Md. Masum Murshed,Kouta Futai,Masato Kimura,Hirofumi Notsu Discrete & Continuous Dynamical Systems - S 14 3 1063 2021/03 

Conference Presentations

  • Unidirectional gradient flow and its application to a crack propagation model(conference:Variational Models of Fracture)(2016/05/08)
  • Applications of a phasefield model for crack propagation(conference:WCCM XII&APCOM VI)(2016/07/24)
  • Shape optimization approach to free boundary problems by traction method(conference:ICCOPT2016)(2016/08/06)
  • Phase field model for crack propagation and some applications(conference:Japan-Taiwan Joint Workshop on Numerical Analysis and Scientific Computation)(2016/11/26)
  • Generalized hexagonal crystalline motion with facet collision and breaking and application to a snow flake model(conference:Emerging Developments in Interfaces and Free Boundaries)(2017/01/22)

show all

  • Analysis of unidirectional diffusion equation and its gradient flow structure(conference:The 42nd Sapporo Symposium on Partial Differential Equations)(2017/08/08)
  • Hexagonal crystal growth model with singularities(conference:Free Boundary Problems and Nonlinear PDEs)(2017/09/26)
  • A delamination-vibration model and its finite element analysis(conference:CoMFoS18: Mathematical Analysis of Continuum Mechanics II)(2018/06/13)
  • Gradient flow structure of the Maxwell-Zener model for viscoelasticity(conference:The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications)(2018/07/05)
  • Snow crystal growth model with supersaturation of vapor(conference:Czech-Japanese Seminar in Applied Mathematics 2018)(2018/07/13)
  • Phase field modeling for crack propagation with irreversibility(conference:China-Japan Symposium on Defects and Cracks in 2018 CSIAM Annual Meeting)(2018/09/14)
  • A structure preserving finite element method for Maxwell type viscoelasticity problem(conference:Japan-Taiwan Joint Workshop on Scientific Computation and Related Topics)(2018/11/24)
  • Snow crystal growth model using generalized crystalline method(conference:Taiwan-Japan Joint Workshop on Inverse Problems in Kyoto 2019)(2019/03/30)


Arts and Fieldwork


Theme to the desired joint research

Grant-in-Aid for Scientific Research


Competitive research funding,Contribution

Collaborative research,Consignment study

Classes (Bachelors)

○Introduction to Region-studies(2017)
○Mathematical Sciences 1(2017)
○Analysis 3A(2017)
○Analysis 3B(2017)
○Applied Analysis(2017)
○Numerical Analysis(2017)
○Differential and Integral Calculus 1(2017)
○Introduction to Region-studies(2016)
○Differential and Integral Calculus 1(2016)
○Applied Analysis(2016)
○Numerical Analysis(2016)
○Numerical Analysis(2015)
○Analysis 3C(2015)
○Linear Algebra 2(2014)
○Numerical Analysis(2014)
○Analysis 3C(2014)
○Mathematical Sciences 1(2014)
○Mathematical Sciences 1(2013)
○Analysis 3C(2013)
○Numerical Analysis(2013)
○Linear Algebra 2(2013)
○Linear Algebra 1(2013)

Classes (Graduate Schools)

○Overseas training(2017)
○Seminar A(2017)
○Exercise A(2017)
○Research Work A(2017)
○Topics in Computational Science b(2017)
○Phenomenological Mathematics(2017)
○Phenomenological Mathematics(2017)
○Phenomenological Mathematics(2017)
○Topics in Computational Science a(2017)
○Phenomenological Mathematics(2017)
○Research in Interdisciplinary Field A(2017)
○Research in Interdisciplinary Field B(2017)
○International Presentation(2017)
○International Presentation(2016)
○Overseas training(2016)
○Exercise A(2016)
○Phenomenological Mathematics(2016)
○Research in Interdisciplinary Field B(2016)
○Research in Interdisciplinary Field A(2016)
○Seminar A(2016)
○Research Work A(2016)
○Phenomenological Mathematics(2015)
○Phenomenological Mathematics(2015)
○Applied Analysis(2015)
○Topics in Computational Science(2013)

International Project

International Students

Lecture themes

Others (Social Activities)

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