Nonlinear diffusion equations as asymptotic limits of Cahn‐Hilliard systems on unbounded domains via Cauchy's criterion

DOI10.1002/MMA.4760zbMath1388.35109arXiv1710.03408OpenAlexW3106031233MaRDI QIDQ4644198

Shunsuke Kurima, Tomomi Yokota, Takeshi Fukao

Publication date: 30 May 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03408

zbMATH Keywords

Stefan problemsnonlinear diffusion equationsfast diffusion equationssubdifferential operatorsporous media equationsCahn-Hilliard systems

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Initial-boundary value problems for higher-order parabolic equations (35K35) Quasilinear parabolic equations (35K59)

Related Items (4)

Nonlinear diffusion equations with Robin boundary conditions as asymptotic limits of Cahn-Hilliard systems ⋮ Time discretization of a nonlinear phase field system in general domains ⋮ Existence and energy estimates of weak solutions for nonlocal Cahn-Hilliard equations on an unbounded domain ⋮ A Cahn-Hilliard system with forward-backward dynamic boundary condition and non-smooth potentials

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