Existence of solutions to the Kobayashi-Warren-Carter system

DOI10.1007/s00526-013-0689-2zbMath1307.35148OpenAlexW2003681262MaRDI QIDQ471092

Salvador Moll, Ken Shirakawa

Publication date: 13 November 2014

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-013-0689-2

zbMATH Keywords

gradient descent flowgrain boundary motiontime-discretization of a relaxed system

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Singular parabolic equations (35K67) Initial-boundary value problems for second-order parabolic systems (35K51) PDEs with measure (35R06) Unilateral problems for parabolic systems and systems of variational inequalities with parabolic operators (35K87)

Related Items

Theory of functions of bounded variation and its applications ⋮ Constrained optimization problems governed by PDE models of grain boundary motions ⋮ A finer singular limit of a single-well Modica-Mortola functional and its applications to the Kobayashi-Warren-Carter energy ⋮ Numerical solution of a phase field model for polycrystallization processes in binary mixtures ⋮ Kobayashi-Warren-Carter system of singular type under dynamic boundary condition ⋮ Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems ⋮ Kobayashi-Warren-Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation ⋮ Solvability for the non-isothermal Kobayashi-Warren-Carter system ⋮ Large-time behavior for a PDE model of isothermal grain boundary motion with a constraint

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