SHIRAKAWA KEN

Structure-preserving scheme for 1D KWC system 

Advances in Mathematical Sciences and Applications, 34(2) 541-577, Apr, 2025  Peer-reviewed

A Gradient System Based on Anisotropic Monochrome Image Processing with Orientation Auto-Adjustment 

Advanced in Mathematical Sciences and Applications, 33(2) 755-782, Nov, 2024  Peer-reviewedCorresponding author

Large-Time Behavior for a Phase-Field System of 3D-Grain Boundary Motion 

SIAM Journal on Mathematical Analysis, 56(5) 6885-6914, Oct 16, 2024  Peer-reviewed

Well-Posedness of a Pseudo-Parabolic KWC System in Materials Science 

SIAM Journal on Mathematical Analysis, 56(5) 6422-6445, Sep 17, 2024  Peer-reviewedLast author

A class of initial-boundary value problems governed by pseudo-parabolic weighted total variation flows 

Advances in Mathematical Sciences and Applications, 32(2) 311-341, Nov, 2023  Peer-reviewedLast author

Periodic solutions to Kobayashi--Warren--Carter systems 

Advances in Mathematical Sciences and Applications, 32(2) 511-553, Nov, 2023  Peer-reviewedLast author

Kobayashi--Warren--Carter system of singular type under dynamic boundary condition 

Discrete and Continuous Dynamical Systems - S, 16(12) 3746-3783, Sep, 2023  Peer-reviewedLast authorCorresponding author

Existence of Solutions to a Phase-Field Model of 3D Grain Boundary Motion Governed by a Regularized 1-Harmonic Type Flow 

Journal of Nonlinear Science, 33(5), Jun 9, 2023  Peer-reviewed

Kobayashi--Warren--Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation 

Nonlinear Analysis, 217 112722-112722, Apr, 2022  Peer-reviewed

Constrained optimization problems governed by PDE models of grain boundary motions 

Advances in Nonlinear Analysis, 11(1) 1249-1286, Mar 19, 2022  Peer-reviewedLast authorCorresponding author

Optimal control problems governed by 1-D Kobayashi--Warren--Carter type systems 

Mathematical Control & Related Fields, 11(2) 253-289, Jun, 2021  Peer-reviewedLast author

On boundary detachment phenomena for the total variation flow with dynamic boundary conditions 

Journal of Differential Equations, 269(12) 10587-10629, Dec, 2020  Peer-reviewed

Optimal control problems for 1D parabolic state-systems of KWC types with dynamic boundary conditions 

Advances in Mathematical Sciences and Applications, 29(2) 583-637, Nov, 2020  Peer-reviewedLast authorCorresponding author

A class of approximate optimal control problems for 1-D phase-field system with singularity and its numerical algorithm 

Advances in Mathematical Sciences and Applications, 29(2) 495-561, Nov, 2020  Peer-reviewed

Approximate methods for singular optimal control problems of nonlinear evolution inclusions with quasi-variational structure 

Advances in Mathematical Sciences and Applications, 29(2) 419-457, Nov, 2020  Peer-reviewed

Optimal Control for Shape Memory Alloys of the One-Dimensional Frémond Model 

Numerical Functional Analysis and Optimization, 41(12) 1421-1471, Sep 9, 2020  Peer-reviewed

Energy‐dissipation in a coupled system of Allen--Cahn‐type equation and Kobayashi--Warren--Carter‐type model of grain boundary motion 

Mathematical Methods in the Applied Sciences, 43 10138-10167, Aug 4, 2020  Peer-reviewedLast author

Doubly nonlinear evolution inclusions of time-dependent subdifferentials --quasi-variational approach-- 

Advances in Mathematical Sciences and Applications, 29(1) 311-343, Aug, 2020  Peer-reviewed