## Shirakawa, Ken

Compute Distance To:
 Author ID: shirakawa.ken Published as: Shirakawa, Ken; Shirakawa, K.
 Documents Indexed: 81 Publications since 1980 Co-Authors: 25 Co-Authors with 50 Joint Publications 545 Co-Co-Authors
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### Co-Authors

 26 single-authored 20 Yamazaki, Noriaki 11 Kenmochi, Nobuyuki 9 Watanabe, Hiroshi 7 Ito, Akio 6 Kadoya, Atsushi 4 Colli, Pierluigi 4 Kubota, Shodai 4 Nakayashiki, Ryota 3 Antil, Harbir 3 Moll, Salvador 3 Ohtsuka, Takeshi 2 Hadiji, Rejeb 1 Aiki, Toyohiko 1 Frémond, Michel 1 Giga, Yoshikazu 1 Gilardi, Gianni 1 Hassan Farshbaf-Shaker, M. 1 Kimura, Masato 1 Kubo, Masahiro 1 Minamino, G. 1 Murase, Yusuke 1 Okazaki, Takanobu 1 Rocca, Elisabetta 1 Rybka, Piotr 1 Sato, Naoki 1 Schnell, Walter 1 Stefanelli, Ulisse
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### Serials

 13 Advances in Mathematical Sciences and Applications 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Discrete and Continuous Dynamical Systems 4 Journal of Sound and Vibration 3 Ingenieur-Archiv 3 Discrete and Continuous Dynamical Systems. Series S 2 Mathematical Methods in the Applied Sciences 2 Advances in Differential Equations 2 RIMS Kokyuroku 1 International Journal of Mechanical Sciences 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mechanics Research Communications 1 Numerical Functional Analysis and Optimization 1 Solid Mechanics Archives. Solid Mechanics Division, University of Waterloo 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Asymptotic Analysis 1 Mathematica Bohemica 1 Calculus of Variations and Partial Differential Equations 1 Communications on Pure and Applied Analysis 1 Networks and Heterogeneous Media 1 Mathematical Control and Related Fields 1 Advances in Nonlinear Analysis 1 AIMS Mathematics
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### Fields

 63 Partial differential equations (35-XX) 24 Mechanics of deformable solids (74-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 12 Statistical mechanics, structure of matter (82-XX) 6 Operator theory (47-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Numerical analysis (65-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

38 Publications have been cited 143 times in 70 Documents Cited by Year
A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions. Zbl 1372.35162
Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken
2017
Stability analysis for Allen-Cahn type equation associated with the total variation energy. Zbl 1274.35083
Shirakawa, Ken; Kimura, Masato
2005
Optimal control problem for Allen-Cahn type equation associated with total variation energy. Zbl 1239.49004
Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki
2012
Asymptotic analysis for micromagnetics of thin films governed by indefinite material coefficients. Zbl 1427.74116
2010
Asymptotic stability for evolution equations governed by subdifferentials. Zbl 0928.35179
Shirakawa, K.; Ito, A.; Yamazaki, N.; Kenmochi, N.
1998
Solvability of one-dimensional phase field systems associated with grain boundary motion. Zbl 1270.35008
Shirakawa, K.; Watanabe, H.; Yamazaki, N.
2013
Large time behavior for doubly nonlinear systems generated by subdifferentials. Zbl 0960.34050
Shirakawa, Ken
2000
Phase-field systems for grain boundary motions under isothermal solidifications. Zbl 1333.35125
Shirakawa, Ken; Watanabe, Hiroshi; Yamazaki, Noriaki
2014
Variational inequalities for a system of elliptic-parabolic equations. Zbl 1298.49032
Kubo, M.; Shirakawa, K.; Yamazaki, N.
2012
Energy-dissipative solution to a one-dimensional phase field model of grain boundary motion. Zbl 1275.35132
Shirakawa, Ken; Watanabe, Hiroshi
2014
Energy dissipative solutions to the Kobayashi-Warren-Carter system. Zbl 1386.35250
Moll, Salvador; Shirakawa, Ken; Watanabe, Hiroshi
2017
Stability for approximation methods of the one-dimensional Kobayashi-Warren-Carter system. Zbl 1340.35113
Watanabe, Hiroshi; Shirakawa, Ken
2014
Existence of solutions to the Kobayashi-Warren-Carter system. Zbl 1307.35148
2014
Optimal control problems of phase field system with total variation functional as the interfacial energy. Zbl 1302.49007
Shirakawa, Ken; Yamazaki, Noriaki
2013
A one dimensional free boundary problem for adsorption phenomena. Zbl 1310.35246
Sato, Naoki; Aiki, Toyohiko; Murase, Yusuke; Shirakawa, Ken
2014
Stability for a parabolic variational inequality associated with total variation functional. Zbl 1142.35340
2001
Stability for phase field systems involving indefinite surface tension coefficients. Zbl 1102.35310
Shirakawa, Ken
2006
3D-2D asymptotic observation for minimization problems associated with degenerate energy-coefficients. Zbl 1306.74017
2011
Attractors for a three-dimensional thermo-mechanical model of shape memory alloys. Zbl 1133.35323
Colli, Pierluigi; Frémond, Michel; Rocca, Elisabetta; Shirakawa, Ken
2006
Large-time behavior for a PDE model of isothermal grain boundary motion with a constraint. Zbl 1343.35030
Watanabe, Hiroshi; Shirakawa, Ken
2015
Optimal control of a singular diffusion equation with constraint. Zbl 1173.49006
Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki
2008
Effects of shear deformation and rotatory inertia on vibration and buckling of cylindrical shells. Zbl 0526.73074
Shirakawa, K.
1983
A variational inequality for total variation functional with constraint. Zbl 1003.49007
2001
Well-posedness and periodic stability for quasilinear parabolic variational inequalities with time-dependent constraints. Zbl 1351.35089
Shirakawa, Ken; Kubo, Masahiro; Yamazaki, Noriaki
2008
Attractors for the one-dimensional Frémond model of shape memory alloys. Zbl 1069.35014
Colli, Pierluigi; Shirakawa, Ken
2004
Asymptotic convergence of $$p$$-Laplace equations with constraint as $$p$$ tends to 1. Zbl 1029.35089
Shirakawa, Ken
2002
Structure result for steady-state solutions of a one-dimensional Frémond model of SMA. Zbl 1077.74033
Shirakawa, Ken; Stefanelli, Ulisse
2004
Stability analysis for Allen-Cahn equations involving indefinite diffusion coefficients. Zbl 1154.35376
Shirakawa, Ken
2005
Stability for a phase field model with the total variation functional as the interfacial energy. Zbl 1012.35006
2003
Parabolic variational inequality associated with the total variation functional. Zbl 1042.35587
Shirakawa, Ken
2001
Stability for steady-state solutions of a nonisothermal Allen-Cahn equation generated by a total variation energy. Zbl 1076.35017
Shirakawa, Ken
2004
Weak formulation for singular diffusion equation with dynamic boundary condition. Zbl 1387.35329
Nakayashiki, Ryota; Shirakawa, Ken
2017
Convergence of numerical algorithm for optimal control problem of Allen-Cahn type equation with constraint. Zbl 1162.65363
Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki
2008
Response of rectangular thick plates to moving single loads. Zbl 0449.73064
Shirakawa, K.
1981
On boundary detachment phenomena for the total variation flow with dynamic boundary conditions. Zbl 1450.35147
Giga, Yoshikazu; Nakayashiki, Ryota; Rybka, Piotr; Shirakawa, Ken
2020
Energy-dissipation in a coupled system of Allen-Cahn-type equation and Kobayashi-Warren-Carter-type model of grain boundary motion. Zbl 1455.35025
Watanabe, Hiroshi; Shirakawa, Ken
2020
A class of parabolic systems associated with optimal controls of grain boundary motions. Zbl 1470.35213
Antil, Harbir; Shirakawa, Ken; Yamazaki, Noriaki
2018
Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems. Zbl 1483.35297
Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki
2021
Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems. Zbl 1483.35297
Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki
2021
On boundary detachment phenomena for the total variation flow with dynamic boundary conditions. Zbl 1450.35147
Giga, Yoshikazu; Nakayashiki, Ryota; Rybka, Piotr; Shirakawa, Ken
2020
Energy-dissipation in a coupled system of Allen-Cahn-type equation and Kobayashi-Warren-Carter-type model of grain boundary motion. Zbl 1455.35025
Watanabe, Hiroshi; Shirakawa, Ken
2020
A class of parabolic systems associated with optimal controls of grain boundary motions. Zbl 1470.35213
Antil, Harbir; Shirakawa, Ken; Yamazaki, Noriaki
2018
A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions. Zbl 1372.35162
Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken
2017
Energy dissipative solutions to the Kobayashi-Warren-Carter system. Zbl 1386.35250
Moll, Salvador; Shirakawa, Ken; Watanabe, Hiroshi
2017
Weak formulation for singular diffusion equation with dynamic boundary condition. Zbl 1387.35329
Nakayashiki, Ryota; Shirakawa, Ken
2017
Large-time behavior for a PDE model of isothermal grain boundary motion with a constraint. Zbl 1343.35030
Watanabe, Hiroshi; Shirakawa, Ken
2015
Phase-field systems for grain boundary motions under isothermal solidifications. Zbl 1333.35125
Shirakawa, Ken; Watanabe, Hiroshi; Yamazaki, Noriaki
2014
Energy-dissipative solution to a one-dimensional phase field model of grain boundary motion. Zbl 1275.35132
Shirakawa, Ken; Watanabe, Hiroshi
2014
Stability for approximation methods of the one-dimensional Kobayashi-Warren-Carter system. Zbl 1340.35113
Watanabe, Hiroshi; Shirakawa, Ken
2014
Existence of solutions to the Kobayashi-Warren-Carter system. Zbl 1307.35148
2014
A one dimensional free boundary problem for adsorption phenomena. Zbl 1310.35246
Sato, Naoki; Aiki, Toyohiko; Murase, Yusuke; Shirakawa, Ken
2014
Solvability of one-dimensional phase field systems associated with grain boundary motion. Zbl 1270.35008
Shirakawa, K.; Watanabe, H.; Yamazaki, N.
2013
Optimal control problems of phase field system with total variation functional as the interfacial energy. Zbl 1302.49007
Shirakawa, Ken; Yamazaki, Noriaki
2013
Optimal control problem for Allen-Cahn type equation associated with total variation energy. Zbl 1239.49004
Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki
2012
Variational inequalities for a system of elliptic-parabolic equations. Zbl 1298.49032
Kubo, M.; Shirakawa, K.; Yamazaki, N.
2012
3D-2D asymptotic observation for minimization problems associated with degenerate energy-coefficients. Zbl 1306.74017
2011
Asymptotic analysis for micromagnetics of thin films governed by indefinite material coefficients. Zbl 1427.74116
2010
Optimal control of a singular diffusion equation with constraint. Zbl 1173.49006
Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki
2008
Well-posedness and periodic stability for quasilinear parabolic variational inequalities with time-dependent constraints. Zbl 1351.35089
Shirakawa, Ken; Kubo, Masahiro; Yamazaki, Noriaki
2008
Convergence of numerical algorithm for optimal control problem of Allen-Cahn type equation with constraint. Zbl 1162.65363
Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki
2008
Stability for phase field systems involving indefinite surface tension coefficients. Zbl 1102.35310
Shirakawa, Ken
2006
Attractors for a three-dimensional thermo-mechanical model of shape memory alloys. Zbl 1133.35323
Colli, Pierluigi; Frémond, Michel; Rocca, Elisabetta; Shirakawa, Ken
2006
Stability analysis for Allen-Cahn type equation associated with the total variation energy. Zbl 1274.35083
Shirakawa, Ken; Kimura, Masato
2005
Stability analysis for Allen-Cahn equations involving indefinite diffusion coefficients. Zbl 1154.35376
Shirakawa, Ken
2005
Attractors for the one-dimensional Frémond model of shape memory alloys. Zbl 1069.35014
Colli, Pierluigi; Shirakawa, Ken
2004
Structure result for steady-state solutions of a one-dimensional Frémond model of SMA. Zbl 1077.74033
Shirakawa, Ken; Stefanelli, Ulisse
2004
Stability for steady-state solutions of a nonisothermal Allen-Cahn equation generated by a total variation energy. Zbl 1076.35017
Shirakawa, Ken
2004
Stability for a phase field model with the total variation functional as the interfacial energy. Zbl 1012.35006
2003
Asymptotic convergence of $$p$$-Laplace equations with constraint as $$p$$ tends to 1. Zbl 1029.35089
Shirakawa, Ken
2002
Stability for a parabolic variational inequality associated with total variation functional. Zbl 1142.35340
2001
A variational inequality for total variation functional with constraint. Zbl 1003.49007
2001
Parabolic variational inequality associated with the total variation functional. Zbl 1042.35587
Shirakawa, Ken
2001
Large time behavior for doubly nonlinear systems generated by subdifferentials. Zbl 0960.34050
Shirakawa, Ken
2000
Asymptotic stability for evolution equations governed by subdifferentials. Zbl 0928.35179
Shirakawa, K.; Ito, A.; Yamazaki, N.; Kenmochi, N.
1998
Effects of shear deformation and rotatory inertia on vibration and buckling of cylindrical shells. Zbl 0526.73074
Shirakawa, K.
1983
Response of rectangular thick plates to moving single loads. Zbl 0449.73064
Shirakawa, K.
1981
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### Cited by 76 Authors

 15 Shirakawa, Ken 10 Colli, Pierluigi 8 Yamazaki, Noriaki 5 Fukao, Takeshi 5 Gilardi, Gianni 5 Watanabe, Hiroshi 4 Akagi, Goro 4 Kenmochi, Nobuyuki 4 Knopf, Patrik 4 Kumazaki, Kota 4 Moll, Salvador 4 Soueid, Salwa 3 Aiki, Toyohiko 3 Faella, Luisa 3 Hadiji, Rejeb 3 Kubo, Masahiro 3 Kubota, Shodai 3 Lam, Kei Fong 3 Marinoschi, Gabriela 3 Rocca, Elisabetta 3 Zheng, Jiashan 2 Antil, Harbir 2 Chacouche, Khaled 2 De Maio, Umberto 2 Farshbaf-Shaker, Mohammad Hassan 2 Garcke, Harald 2 Gaudiello, Antonio 2 Giga, Yoshikazu 2 Gokieli, Maria 2 Kimura, Masato 2 Murase, Yusuke 2 Nakayashiki, Ryota 2 Niezgódka, Marek 2 Sato, Naoki 2 Signori, Andrea 1 Akman Yıldız, Tuğba 1 Băleanu, Dumitru I. 1 Bao, Xuelian 1 Benincasa, Tommaso 1 Bonetti, Elena 1 Donado Escobar, L. D. 1 Fabrizio, Mauro 1 Frémond, Michel 1 Giga, Mi-Ho 1 Hagverdiyev, Ali 1 Hamdache, Kamel 1 Hassan Farshbaf-Shaker, M. 1 Hauer, Daniel 1 Ito, Akio 1 Jajarmi, Amin 1 Kawohl, Bernd 1 Kim, Junseok 1 Lee, Soon-Hyuck 1 Liu, Chun 1 Liu, Junjun 1 Mazón Ruiz, José M. 1 Melchionna, Stefano 1 Metzger, Stefan 1 Moroşanu, Costică 1 Moumni, Ziad 1 Negri, Matteo 1 Novruzov, Emil B. 1 Pallardó, Vicent 1 Perugia, Carmen 1 Rybka, Piotr 1 Schimperna, Giulio 1 Schuricht, Friedemann 1 Suzuki, Tomoyuki 1 Takasao, Keisuke 1 Wang, Mingxin 1 Wang, Yifu 1 Yang, Guoying 1 Yayla, Sema 1 Yildiz, Burak C. 1 Yun, Ana 1 Zaki, Wael
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### Cited in 41 Serials

 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of Mathematical Analysis and Applications 4 Journal of Differential Equations 4 Discrete and Continuous Dynamical Systems 3 Mathematical Methods in the Applied Sciences 3 NoDEA. Nonlinear Differential Equations and Applications 3 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 International Journal of Control 2 Ricerche di Matematica 2 Calculus of Variations and Partial Differential Equations 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series S 2 Mathematical Control and Related Fields 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Numerical Functional Analysis and Optimization 1 Chinese Annals of Mathematics. Series B 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Sugaku Expositions 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Convex Analysis 1 Revista Matemática Complutense 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Analysis. Modelling and Control 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Advances in Numerical Analysis 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis
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### Cited in 19 Fields

 60 Partial differential equations (35-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 13 Mechanics of deformable solids (74-XX) 8 Optics, electromagnetic theory (78-XX) 7 Operator theory (47-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 Biology and other natural sciences (92-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)