A phase-field model of grain boundary motion.

DOI10.1007/s10492-008-0035-8zbMath1199.35138OpenAlexW2099349151MaRDI QIDQ834034

Akio Ito, Noriaki Yamazaki, Nobuyuki Kenmochi

Publication date: 17 August 2009

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/37794

zbMATH Keywords

subdifferentialsingular diffusiongrain boundary motion

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Free boundary problems for PDEs (35R35) Initial value problems for second-order parabolic systems (35K45)

Related Items

Energy-dissipative solution to a one-dimensional phase field model of grain boundary motion ⋮ A finer singular limit of a single-well Modica-Mortola functional and its applications to the Kobayashi-Warren-Carter energy ⋮ 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 ⋮ Very singular diffusion equations: second and fourth order problems ⋮ 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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