Global solvability of a model for grain boundary motion with constraint
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Publication:428440
DOI10.3934/dcdss.2012.5.127zbMath1246.35100OpenAlexW2327505458MaRDI QIDQ428440
Akio Ito, Noriaki Yamazaki, Nobuyuki Kenmochi
Publication date: 22 June 2012
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2012.5.127
Nonlinear parabolic equations (35K55) Free boundary problems for PDEs (35R35) Initial-boundary value problems for second-order parabolic systems (35K51) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)
Related Items (8)
Energy-dissipative solution to a one-dimensional phase field model of grain boundary motion ⋮ Kobayashi-Warren-Carter system of singular type under dynamic boundary condition ⋮ Solvability of one-dimensional phase field systems associated with grain boundary motion ⋮ Existence of solutions to the Kobayashi-Warren-Carter system ⋮ Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems ⋮ Energy dissipative solutions to the Kobayashi–Warren–Carter system ⋮ Kobayashi-Warren-Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation ⋮ Solvability for the non-isothermal Kobayashi-Warren-Carter system
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