Research keywords (1)：
Nonlinear Partial Differential Equations
Research theme for competitive and other funds (13)：
2020 - 2024 Mathematical analysis for CFRP
2020 - 2024 固体材料の動的挙動の数学解析
2018 - 2021 Structure-preserving numerical methods for elasto-plasticity
2016 - 2020 熱弾性と熱弾塑性の数学解析
2014 - 2018 Critical exponent and the behavior of solutions to nonlinear parabolic partial differential equations
2013 - 2017 Mathematical Analysis for Thermoelasticity and Thermoelastoplasticity
2011 - 2015 Singularity of solutions for nonlinear partial differential equations of parabolic type and structure of solutions for the stationary problems
2010 - 2014 形状記憶合金の熱弾塑性の数学解析
2008 - 2012 Analysis for nonlinear critical phenomena described by mean field equations
Takuto Nagata, Shuji Yoshikawa. Structure-preserving finite difference scheme for 1D thermoviscoelastoplastic equations under uniformly distributed temperature. Mathematics and Computers in Simulation. 2023. 210. 147-168
Kazuki Shimura, Shuji Yoshikawa. A new conservative finite difference scheme for 1D Cahn-Hilliard equation coupled with elasticity. Journal of Applied Analysis. 2022
Akihiro Umeda, Yuta Wakasugi, Shuji Yoshikawa. Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions. Applied Numerical Mathematics. 2022. 171. 1-22
Makoto Okumura, Takeshi Fukao, Daisuke Furihata, Shuji Yoshikawa. A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition. Communications on Pure and Applied Analysis. 2021
Shuji Yoshikawa, Shuichi Kawashima. Global existence for a semi-discrete scheme of some quasilinear hyperbolic balance laws. Journal of Mathematical Analysis and Applications. 2021. 498. 1. 124929-124929
Shuji Yoshikawa. Remarks on the structure-preserving finite difference scheme for the Falk model of shape memory alloys. RIMS Kokyuroku. 2016. 1997. 156-164
Mathematical analysis for the problems related to dynamic deformation of CFRJP
(2022 The Mathematical Society of Japan 2022)
Remarks on Falk's thermoelastic system of shape memory alloys
(NLPDE Spring Seminar 2022)
Energy conserving finite difference scheme for 1D thermoviscoelastoplastic system under uniformly distributed temperature
(The 39th Kyushu Symposium on Partial Differential Equations 2022)
Energy methods for structure-preserving numerical methods of evolution equations
(2021)
Energy method for the structure-preserving finite difference scheme of the two-dimensional Cahn-Hilliard equation
(2021)
2017/04 - 現在 Oita University Division of Mathematical Sciences, Department of Integrated Science and Technology, Faculty of Science and Technology Professor
2016/08 - 2017/03 Oita University Department of Computer Science and Intelligent Systems, Faculty of Engineering Professor
2010/04 - 2016/07 Ehime University Department of Engineering for Production and Environment, Graduate School of Science and Engineering Associate Professor
2014/04 - 2015/02 University of Konstanz Faculty of Sciences Visiting Researcher
2007/04 - 2010/03 Ube National College of Technology Department of Business Administration Assistant Professor
2006/04 - 2007/03 Ube National College of Technology Department of Business Administration Research Associate
2005/04 - 2006/03 JSPS Research Fellowship for Young Scientists (DC2)
Show all
Committee career (3)：
2022/03 - 2023/02 日本数学会 地方区代議員(代議員)
2019/03 - 2020/02 日本数学会 地方区代議員(代議員)
2015/07 - 2019/06 日本数学会 「数学」編集委員(非常任)
Awards (1)：
2003 - 川井賞(川井数理財団)
Association Membership(s) (5)：
International Society for Analysis Its Applications and Computation (ISAAC)
, THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
, THE JAPAN SOCIETY OF MECHANICAL ENGINEERS
, The Mathematical Society of Japan
, SIAM(Society for Industrial and Applied Mathematics)
