白川 健

Structure-preserving scheme for 1D KWC system 

Advances in Mathematical Sciences and Applications 34(2) 541-577 2025年4月  査読有り

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

Advanced in Mathematical Sciences and Applications 33(2) 755-782 2024年11月  査読有り責任著者

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

SIAM Journal on Mathematical Analysis 56(5) 6885-6914 2024年10月16日  査読有り

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

SIAM Journal on Mathematical Analysis 56(5) 6422-6445 2024年9月  査読有り最終著者

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 2023年11月  査読有り最終著者

Periodic solutions to Kobayashi--Warren--Carter systems 

Advances in Mathematical Sciences and Applications 32(2) 511-553 2023年11月  査読有り最終著者

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

Discrete and Continuous Dynamical Systems - S 16(12) 3746-3783 2023年9月  査読有り最終著者責任著者

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) 2023年6月9日  査読有り

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

217 112722-112722 2022年4月  査読有り

Constrained optimization problems governed by PDE models of grain boundary motions 

Advances in Nonlinear Analysis 11(1) 1249-1286 2022年3月19日  査読有り最終著者責任著者

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

Mathematical Control & Related Fields 11(2) 253-289 2021年6月  査読有り最終著者

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

Journal of Differential Equations 269(12) 10587-10629 2020年12月  査読有り

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 2020年11月  査読有り最終著者責任著者

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 2020年11月  査読有り

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 2020年11月  査読有り

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

Numerical Functional Analysis and Optimization 41(12) 1421-1471 2020年9月9日  査読有り

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 2020年8月4日  査読有り最終著者

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

Advances in Mathematical Sciences and Applications 29(1) 311-343 2020年8月  査読有り