On the initial value problem of the semilinear beam equation with weak damping II: Asymptotic profiles H Takeda, S Yoshikawa Journal of Differential Equations 253 (11), 3061-3080, 2012 | 31 | 2012 |
Structure-preserving finite difference schemes for the Cahn-Hilliard equation with dynamic boundary conditions in the one-dimensional case T Fukao, S Yoshikawa, S Wada Commun. Pure Appl. Anal 16 (5), 1915-1938, 2017 | 26 | 2017 |
Energy method for structure-preserving finite difference schemes and some properties of difference quotient S Yoshikawa Journal of Computational and Applied Mathematics 311, 394-413, 2017 | 23 | 2017 |
Quasi-linear thermoelasticity system arising in shape memory materials S Yoshikawa, I Pawłow, WM Zaj a¸ czkowski SIAM journal on mathematical analysis 38 (6), 1733-1759, 2007 | 21 | 2007 |
Weak solutions for the Falk model system of shape memory alloys in energy class S Yoshikawa Mathematical methods in the applied sciences 28 (12), 1423-1443, 2005 | 20 | 2005 |
An error estimate for structure-preserving finite difference scheme for the Falk model system of shape memory alloys S Yoshikawa IMA Journal of Numerical Analysis 37 (1), 477-504, 2017 | 17 | 2017 |
On the initial value problem of the semilinear beam equation with weak damping I: Smoothing effect H Takeda, S Yoshikawa Journal of Mathematical Analysis and Applications 401 (1), 244-258, 2013 | 16 | 2013 |
Stability of the steady state for the Falk model system of shape memory alloys T Suzuki, S Yoshikawa Mathematical methods in the applied sciences 30 (17), 2233-2245, 2007 | 16 | 2007 |
Unique global existence for a three-dimensional thermoelastic system of shape memory alloys 吉川周二 Advances in Mathematical Sciences and Applications 15, 603-627, 2005 | 15 | 2005 |
Remarks on energy methods for structure-preserving finite difference schemes–Small data global existence and unconditional error estimate S Yoshikawa Applied Mathematics and Computation 341, 80-92, 2019 | 14 | 2019 |
Structure-preserving finite difference schemes for a semilinear thermoelastic system with second order time derivative K Yano, S Yoshikawa Japan Journal of Industrial and Applied Mathematics 35, 1213-1244, 2018 | 10 | 2018 |
A conservative finite difference scheme for the Falk model system of shape memory alloys S Yoshikawa ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2015 | 9 | 2015 |
Stability of the steady state for multi-dimensional thermoelastic systems ofshape memory alloys T Suzuki, S Yoshikawa Discrete and Continuous Dynamical Systems-S 5 (1), 209-217, 2011 | 7 | 2011 |
A quasilinear thermoviscoelastic system for shape memory alloys with temperature dependent specific heat S Yoshikawa, I Pawłow, WM Zajączkowski Communications on Pure and Applied Analysis 8 (3), 1093-1115, 2009 | 7 | 2009 |
A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition M Okumura, T Fukao, D Furihata, S Yoshikawa arXiv preprint arXiv:2007.08355, 2020 | 6 | 2020 |
Singular limits in the Cauchy problem for the damped extensible beam equation R Racke, S Yoshikawa Journal of Differential Equations 259 (4), 1297-1322, 2015 | 6 | 2015 |
An error estimate of conservative finite difference scheme for the Boussinesq type equations S Yoshikawa | 6 | 2013 |
Hysteresis model for one-dimensional shape memory alloy with small viscosity T Aiki, A Kadoya, S Yoshikawa preparation. One-dimensional Shape Memory Alloy Problem 9, 2005 | 6 | 2005 |
Asymptotic profile of solutions for the limit unstable Cahn-Hilliard equation with inertial term H Takeda, S Yoshikawa | 5 | 2012 |
Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions A Umeda, Y Wakasugi, S Yoshikawa Applied Numerical Mathematics 171, 1-22, 2022 | 4 | 2022 |