On a phase field model for solid-liquid phase transitions

DOI10.3934/dcds.2012.32.1997zbMath1247.80011arXiv1201.3444OpenAlexW2015757640MaRDI QIDQ423850

Laurent Chupin, Sylvie Benzoni-Gavage, Julien Vovelle, Didier Jamet

Publication date: 30 May 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3444

zbMATH Keywords

reaction-diffusion systemnonlinear diffusiondiffuse interfacesharp interface modelCaginalp model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stefan problems, phase changes, etc. (80A22) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Time discretization of a nonlinear phase field system in general domains ⋮ Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model ⋮ The Cahn-Hilliard-de Gennes and generalized Penrose-Fife models for polymer phase separation

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