2015 - 2018 A new development of mathematical theory of Discontinuous Galerkin FEM
2014 - 2017 Mathematical foundations and applications in dissipative models arising in life science
2014 - 2016 Mathematics of cell adhesion: experiments, modeling and analysis
2011 - 2014 Mathematical theory of the finite volume methods
2010 - 2013 Semi-strong interactions of front and pulse solutions in reaction-diffusion systems
2010 - 2012 Development and application of the theory of reaction-diffusion system approximation
2009 - 2011 High accuracy finite element method for flow problem with moving boundary and relative topics
2007 - 2009 Mathematical analysis of front and pulse dynamics in heterogeneous diffusive media
2007 - 2009 New development in the theory of reaction-diffusion system approximation
2005 - 2006 Development and analysis of numerical methods for tracking the interfaces of moving boundary problems
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Papers (42):
Rhudaina Z Mohammad, Hideki Murakawa, Karel Svadlenka, Hideru Togashi. A numerical algorithm for modeling cellular rearrangements in tissue morphogenesis. Communications biology. 2022. 5. 1. 239-239
Hideki Murakawa. Fast reaction limit of reaction-diffusion systems. Discrete & Continuous Dynamical Systems - S. 2021. 14. 3. 1047-1062
Relationship between haptotaxis and chemotaxis in cell sorting phenomena
(MATRIX-RIMS Tandem Workshop: Evolutionary Partial Differential Equations and Applications 2024)
A Keller-Segel type approximation to a population dynamics model of cell-cell adhesion
(Reaction Diffusion Equations and Nonlinear Dispersive Equations 2024)
細胞選別現象における走触性と走化性の関係
(第3回はこだて現象数理研究集会 2023)
A Keller-Segel type approximation to a cell population dynamics model
(ICIAM 2023, MS: Evolution Equations for Interacting Species: Applications and Analysis 2023)
2004 - 2006 Kyushu university Graduate school of mathematics, Doctor course
2002 - 2004 Kyushu university Graduate school of mathematics, Master course
1998 - 2002 Kyushu university Faculty of science Department of mathematics
Professional career (1):
博士(数理学) (九州大学)
Work history (6):
2023/04 - 現在 Ryukoku University Faculty of Advanced Science and Technology Professor
2020/04 - 2023/03 Ryukoku University Faculty of Advanced Science and Technology Associate professor
2019/04 - 2020/03 Ryukoku University Faculty of Science and Technology, Department of Applied Mathematics and Informatics
2011/04 - 2019/03 Kyushu university Faculty of mathematics Assistant professor
2007/04 - 2011/03 University of Toyama Graduate School of Science and Engineering for Research Assistant professor
2006/04 - 2007/03 University of Toyama Graduate School of Science and Engineering for Research Reaearch associate
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Committee career (2):
2017/10 - 現在 日本数学会 応用数学分科会分科会委員
2010/07 - 2014/06 日本数学会 「数学」編集委員
Awards (2):
2020/09 - The Japan Society for Industrial and Applied Mathematics JJIAM Best Paper Award An efficient linear scheme to approximate nonlinear diffusion problems
Japanese Society for Mathematical Biology
, JAPANESE SOCIETY OF DEVELOPMENTAL BIOLOGISTS
, THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
, THE MATHEMATICAL SOCIETY OF JAPAN