Edit Profile (opens in new tab) Shirakawa, Ken Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1372.35162Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken 13 2017 Stability analysis for Allen-Cahn type equation associated with the total variation energy. Zbl 1274.35083Shirakawa, Ken; Kimura, Masato 10 2005 Optimal control problem for Allen-Cahn type equation associated with total variation energy. Zbl 1239.49004Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki 9 2012 Asymptotic analysis for micromagnetics of thin films governed by indefinite material coefficients. Zbl 1427.74116Hadiji, Rejeb; Shirakawa, Ken 8 2010 Asymptotic stability for evolution equations governed by subdifferentials. Zbl 0928.35179Shirakawa, K.; Ito, A.; Yamazaki, N.; Kenmochi, N. 8 1998 Solvability of one-dimensional phase field systems associated with grain boundary motion. Zbl 1270.35008Shirakawa, K.; Watanabe, H.; Yamazaki, N. 7 2013 Large time behavior for doubly nonlinear systems generated by subdifferentials. Zbl 0960.34050Shirakawa, Ken 7 2000 Phase-field systems for grain boundary motions under isothermal solidifications. Zbl 1333.35125Shirakawa, Ken; Watanabe, Hiroshi; Yamazaki, Noriaki 5 2014 Variational inequalities for a system of elliptic-parabolic equations. Zbl 1298.49032Kubo, M.; Shirakawa, K.; Yamazaki, N. 5 2012 Energy-dissipative solution to a one-dimensional phase field model of grain boundary motion. Zbl 1275.35132Shirakawa, Ken; Watanabe, Hiroshi 5 2014 Energy dissipative solutions to the Kobayashi-Warren-Carter system. Zbl 1386.35250Moll, Salvador; Shirakawa, Ken; Watanabe, Hiroshi 4 2017 Stability for approximation methods of the one-dimensional Kobayashi-Warren-Carter system. Zbl 1340.35113Watanabe, Hiroshi; Shirakawa, Ken 4 2014 Existence of solutions to the Kobayashi-Warren-Carter system. Zbl 1307.35148Moll, Salvador; Shirakawa, Ken 4 2014 Optimal control problems of phase field system with total variation functional as the interfacial energy. Zbl 1302.49007Shirakawa, Ken; Yamazaki, Noriaki 4 2013 A one dimensional free boundary problem for adsorption phenomena. Zbl 1310.35246Sato, Naoki; Aiki, Toyohiko; Murase, Yusuke; Shirakawa, Ken 4 2014 Stability for a parabolic variational inequality associated with total variation functional. Zbl 1142.35340Kenmochi, Nobuyuki; Shirakawa, Ken 4 2001 Stability for phase field systems involving indefinite surface tension coefficients. Zbl 1102.35310Shirakawa, Ken 4 2006 3D-2D asymptotic observation for minimization problems associated with degenerate energy-coefficients. Zbl 1306.74017Hadiji, Rejeb; Shirakawa, Ken 4 2011 Attractors for a three-dimensional thermo-mechanical model of shape memory alloys. Zbl 1133.35323Colli, Pierluigi; Frémond, Michel; Rocca, Elisabetta; Shirakawa, Ken 4 2006 Large-time behavior for a PDE model of isothermal grain boundary motion with a constraint. Zbl 1343.35030Watanabe, Hiroshi; Shirakawa, Ken 3 2015 Optimal control of a singular diffusion equation with constraint. Zbl 1173.49006Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki 3 2008 Effects of shear deformation and rotatory inertia on vibration and buckling of cylindrical shells. Zbl 0526.73074Shirakawa, K. 3 1983 A variational inequality for total variation functional with constraint. Zbl 1003.49007Kenmochi, Nobuyuki; Shirakawa, Ken 3 2001 Well-posedness and periodic stability for quasilinear parabolic variational inequalities with time-dependent constraints. Zbl 1351.35089Shirakawa, Ken; Kubo, Masahiro; Yamazaki, Noriaki 2 2008 Attractors for the one-dimensional Frémond model of shape memory alloys. Zbl 1069.35014Colli, Pierluigi; Shirakawa, Ken 2 2004 Asymptotic convergence of \(p\)-Laplace equations with constraint as \(p\) tends to 1. Zbl 1029.35089Shirakawa, Ken 2 2002 Structure result for steady-state solutions of a one-dimensional Frémond model of SMA. Zbl 1077.74033Shirakawa, Ken; Stefanelli, Ulisse 1 2004 Stability analysis for Allen-Cahn equations involving indefinite diffusion coefficients. Zbl 1154.35376Shirakawa, Ken 1 2005 Stability for a phase field model with the total variation functional as the interfacial energy. Zbl 1012.35006Kenmochi, Nobuyuki; Shirakawa, Ken 1 2003 Parabolic variational inequality associated with the total variation functional. Zbl 1042.35587Shirakawa, Ken 1 2001 Stability for steady-state solutions of a nonisothermal Allen-Cahn equation generated by a total variation energy. Zbl 1076.35017Shirakawa, Ken 1 2004 Weak formulation for singular diffusion equation with dynamic boundary condition. Zbl 1387.35329Nakayashiki, Ryota; Shirakawa, Ken 1 2017 Convergence of numerical algorithm for optimal control problem of Allen-Cahn type equation with constraint. Zbl 1162.65363Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki 1 2008 Response of rectangular thick plates to moving single loads. Zbl 0449.73064Shirakawa, K. 1 1981 On boundary detachment phenomena for the total variation flow with dynamic boundary conditions. Zbl 1450.35147Giga, Yoshikazu; Nakayashiki, Ryota; Rybka, Piotr; Shirakawa, Ken 1 2020 Energy-dissipation in a coupled system of Allen-Cahn-type equation and Kobayashi-Warren-Carter-type model of grain boundary motion. Zbl 1455.35025Watanabe, Hiroshi; Shirakawa, Ken 1 2020 A class of parabolic systems associated with optimal controls of grain boundary motions. Zbl 1470.35213Antil, Harbir; Shirakawa, Ken; Yamazaki, Noriaki 1 2018 Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems. Zbl 1483.35297Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki 1 2021 Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems. Zbl 1483.35297Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki 1 2021 On boundary detachment phenomena for the total variation flow with dynamic boundary conditions. Zbl 1450.35147Giga, Yoshikazu; Nakayashiki, Ryota; Rybka, Piotr; Shirakawa, Ken 1 2020 Energy-dissipation in a coupled system of Allen-Cahn-type equation and Kobayashi-Warren-Carter-type model of grain boundary motion. Zbl 1455.35025Watanabe, Hiroshi; Shirakawa, Ken 1 2020 A class of parabolic systems associated with optimal controls of grain boundary motions. Zbl 1470.35213Antil, Harbir; Shirakawa, Ken; Yamazaki, Noriaki 1 2018 A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions. Zbl 1372.35162Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken 13 2017 Energy dissipative solutions to the Kobayashi-Warren-Carter system. Zbl 1386.35250Moll, Salvador; Shirakawa, Ken; Watanabe, Hiroshi 4 2017 Weak formulation for singular diffusion equation with dynamic boundary condition. Zbl 1387.35329Nakayashiki, Ryota; Shirakawa, Ken 1 2017 Large-time behavior for a PDE model of isothermal grain boundary motion with a constraint. Zbl 1343.35030Watanabe, Hiroshi; Shirakawa, Ken 3 2015 Phase-field systems for grain boundary motions under isothermal solidifications. Zbl 1333.35125Shirakawa, Ken; Watanabe, Hiroshi; Yamazaki, Noriaki 5 2014 Energy-dissipative solution to a one-dimensional phase field model of grain boundary motion. Zbl 1275.35132Shirakawa, Ken; Watanabe, Hiroshi 5 2014 Stability for approximation methods of the one-dimensional Kobayashi-Warren-Carter system. Zbl 1340.35113Watanabe, Hiroshi; Shirakawa, Ken 4 2014 Existence of solutions to the Kobayashi-Warren-Carter system. Zbl 1307.35148Moll, Salvador; Shirakawa, Ken 4 2014 A one dimensional free boundary problem for adsorption phenomena. Zbl 1310.35246Sato, Naoki; Aiki, Toyohiko; Murase, Yusuke; Shirakawa, Ken 4 2014 Solvability of one-dimensional phase field systems associated with grain boundary motion. Zbl 1270.35008Shirakawa, K.; Watanabe, H.; Yamazaki, N. 7 2013 Optimal control problems of phase field system with total variation functional as the interfacial energy. Zbl 1302.49007Shirakawa, Ken; Yamazaki, Noriaki 4 2013 Optimal control problem for Allen-Cahn type equation associated with total variation energy. Zbl 1239.49004Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki 9 2012 Variational inequalities for a system of elliptic-parabolic equations. Zbl 1298.49032Kubo, M.; Shirakawa, K.; Yamazaki, N. 5 2012 3D-2D asymptotic observation for minimization problems associated with degenerate energy-coefficients. Zbl 1306.74017Hadiji, Rejeb; Shirakawa, Ken 4 2011 Asymptotic analysis for micromagnetics of thin films governed by indefinite material coefficients. Zbl 1427.74116Hadiji, Rejeb; Shirakawa, Ken 8 2010 Optimal control of a singular diffusion equation with constraint. Zbl 1173.49006Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki 3 2008 Well-posedness and periodic stability for quasilinear parabolic variational inequalities with time-dependent constraints. Zbl 1351.35089Shirakawa, Ken; Kubo, Masahiro; Yamazaki, Noriaki 2 2008 Convergence of numerical algorithm for optimal control problem of Allen-Cahn type equation with constraint. Zbl 1162.65363Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki 1 2008 Stability for phase field systems involving indefinite surface tension coefficients. Zbl 1102.35310Shirakawa, Ken 4 2006 Attractors for a three-dimensional thermo-mechanical model of shape memory alloys. Zbl 1133.35323Colli, Pierluigi; Frémond, Michel; Rocca, Elisabetta; Shirakawa, Ken 4 2006 Stability analysis for Allen-Cahn type equation associated with the total variation energy. Zbl 1274.35083Shirakawa, Ken; Kimura, Masato 10 2005 Stability analysis for Allen-Cahn equations involving indefinite diffusion coefficients. Zbl 1154.35376Shirakawa, Ken 1 2005 Attractors for the one-dimensional Frémond model of shape memory alloys. Zbl 1069.35014Colli, Pierluigi; Shirakawa, Ken 2 2004 Structure result for steady-state solutions of a one-dimensional Frémond model of SMA. Zbl 1077.74033Shirakawa, Ken; Stefanelli, Ulisse 1 2004 Stability for steady-state solutions of a nonisothermal Allen-Cahn equation generated by a total variation energy. Zbl 1076.35017Shirakawa, Ken 1 2004 Stability for a phase field model with the total variation functional as the interfacial energy. Zbl 1012.35006Kenmochi, Nobuyuki; Shirakawa, Ken 1 2003 Asymptotic convergence of \(p\)-Laplace equations with constraint as \(p\) tends to 1. Zbl 1029.35089Shirakawa, Ken 2 2002 Stability for a parabolic variational inequality associated with total variation functional. Zbl 1142.35340Kenmochi, Nobuyuki; Shirakawa, Ken 4 2001 A variational inequality for total variation functional with constraint. Zbl 1003.49007Kenmochi, Nobuyuki; Shirakawa, Ken 3 2001 Parabolic variational inequality associated with the total variation functional. Zbl 1042.35587Shirakawa, Ken 1 2001 Large time behavior for doubly nonlinear systems generated by subdifferentials. Zbl 0960.34050Shirakawa, Ken 7 2000 Asymptotic stability for evolution equations governed by subdifferentials. Zbl 0928.35179Shirakawa, K.; Ito, A.; Yamazaki, N.; Kenmochi, N. 8 1998 Effects of shear deformation and rotatory inertia on vibration and buckling of cylindrical shells. Zbl 0526.73074Shirakawa, K. 3 1983 Response of rectangular thick plates to moving single loads. Zbl 0449.73064Shirakawa, K. 1 1981 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year