Convergence of Cahn–Hilliard systems to the Stefan problem with dynamic boundary conditions

DOI10.3233/ASY-161373zbMath1348.35267arXiv1505.07181MaRDI QIDQ2831127

Takeshi Fukao

Publication date: 2 November 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07181

zbMATH Keywords

weak solutionCahn-Hilliard systemStefan problemdynamic boundary condition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stefan problems, phase changes, etc. (80A22) Weak solutions to PDEs (35D30) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Initial-boundary value problems for higher-order parabolic systems (35K52)

Related Items (7)

Structure-preserving finite difference schemes for the Cahn-Hilliard equation with dynamic boundary conditions in the one-dimensional case ⋮ Coupled diffusion and phase transition: phase fields, constraints, and the Cahn-Hilliard equation ⋮ Nonlinear diffusion equations with Robin boundary conditions as asymptotic limits of Cahn-Hilliard systems ⋮ Monotonicity methods for nonlinear diffusion equations and their approximations with error estimates ⋮ Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems ⋮ Time periodic solutions of Cahn-Hilliard systems with dynamic boundary conditions ⋮ A Cahn-Hilliard system with forward-backward dynamic boundary condition and non-smooth potentials

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