SHIRAKAWA KEN

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

Yoshikazu Giga, Ryota Nakayashiki, Piotr Rybka, Ken Shirakawa

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

Shodai Kubota, Ryota Nakayashiki, Ken Shirakawa

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

Shodai Kubota, Ken Shirakawa, Noriaki Yamazaki

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

Nobuyuki Kenmochi, Ken Shirakawa, Noriaki Yamazaki

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

Pierluigi Colli, M. Hassan Farshbaf-Shaker, Ken Shirakawa, Noriaki Yamazaki

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

Hiroshi Watanabe, Ken Shirakawa

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

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

Harbir Antil, Shodai Kubota, Ken Shirakawa, Noriaki Yamazaki

Mathematical Control & Related Fields Aug, 2020 Peer-reviewedLast author

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

Nobuyuki Kenmochi, Ken Shirakawa, Noriaki Yamazaki

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

A class of parabolic systems associated with optimal controls of grain boundary motions

Harbir Antil, Ken Shirakawa, Noriaki Yamazaki

Advances in Mathematical Sciences and Applications 27(1) 297 - 334 Sep, 2018 Peer-reviewedLast authorCorresponding author

A class of quasi-linear Allen–Cahn type equations with dynamic boundary conditions

Pierluigi Colli, Gianni Gilardi, Ryota Nakayashiki, Ken Shirakawa

Nonlinear Analysis 158 32 - 59 Jul, 2017 Peer-reviewedLast author

Energy dissipative solutions to the Kobayashi–Warren–Carter system

Salvador Moll, Ken Shirakawa, Hiroshi Watanabe

Nonlinearity 30(7) 2752 - 2784 Jul 1, 2017 Peer-reviewedLast author

New class of doubly nonlinear evolution equations governed by time-dependent subdifferentials

Nobuyuki Kenmochi, Ken Shirakawa, Noriaki Yamazaki

Springer INdAM Series 22 281 - 304 2017 Peer-reviewed

Weak formulation for singular diffusion equation with dynamic boundary condition

Ryota Nakayashiki, Ken Shirakawa

Springer INdAM Series 22 405 - 429 2017 Peer-reviewedLast author

Singular optimal control problems for doubly nonlinear and quasi-variational evolution equations

Nobuyuki Kenmochi, Ken Shirakawa, Noriaki Yamazaki

Advances in Mathematical Sciences and Applications 26 313 - 379 2017 Peer-reviewed

Solvability for the non-isothermal Kobayashi–Warren–Carter system

Ken Shirakawa, HiroshiWatanabe

AIMS Mathematics 2(1) 161 - 194 2017 Peer-reviewedLead authorLast authorCorresponding author

Analysis of the Effects of a Science Teacher Internship Abroad on University Students

NOMURA Jun, BABA Satoko, IIZUKA Masaaki, ITAKURA Yoshiya, KATO Tetsuya, KINOSHITA Ryu, SHIMONAGATA Shuji, SHIRAKAWA Ken, SUGITA Katsuo, TAKAKI Akira, TSUJI Koji, YOSHIDA Kyoko, HAYASHI Hideko, HORNE Beverley, YAMATO Masahide, YONEDA Chie, YAMANO Yoshiaki, YAMASHITA Shuichi, TSURUOKA Yoshihiko, FUJITA Takeshi, KOMIYAMA Tomoyoshi, OSHIMA Ryugo, ASHARDIANTO Sapto

Journal of Science Education in Japan 41(2) 141 - 149 2017 Peer-reviewed

Convergence of numerical algorithm for approximating optimal control problems of phase field system with singular diffusivity

Ken Shirakawa, Noriaki Yamazaki

Advances in Mathematical Analysis and Applications 25(1) 243 - 272 Oct, 2016 Peer-reviewedLead author

Large-time behavior for a PDE model of isothermal grain boundary motion with a constraint

Hiroshi Watanabe, Ken Shirakawa

Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain) Nov, 2015 Peer-reviewedLast author

Existence of solutions to the Kobayashi–Warren–Carter system

Salvador Moll, Ken Shirakawa

Calculus of Variations and Partial Differential Equations 51(3-4) 621 - 656 Nov, 2014 Peer-reviewedLast authorCorresponding author

Energy-dissipative solution to a one-dimensional phase field model of grain boundary motion

Ken Shirakawa, Hiroshi Watanabe

Discrete & Continuous Dynamical Systems - S 7(1) 139 - 159 2014 Peer-reviewedLead authorLast authorCorresponding author

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