Sharp interface limit for the Cahn–Larché system

DOI10.3233/ASY-141268zbMath1320.35022arXiv1403.1151OpenAlexW2963196005MaRDI QIDQ5261134

Helmut Abels, Stefan Schaubeck

Publication date: 1 July 2015

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

Full work available at URL: https://arxiv.org/abs/1403.1151

zbMATH Keywords

Cahn-Hilliard equationlinearized elasticitymatched asymptotic expansionHele-Shaw systemphase separation of a binary mixture

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Classical linear elasticity (74B05) Asymptotic expansions of solutions to PDEs (35C20) Theoretical approximation in context of PDEs (35A35) Transformations involving diffusion in solids (74N25) Free boundary problems for PDEs (35R35) PDEs in connection with mechanics of deformable solids (35Q74) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (7)

Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result ⋮ Sharp-interface formation during lithium intercalation into silicon ⋮ Asymptotics and numerical efficiency of the Allen-Cahn model for phase interfaces with low energy in solids ⋮ Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries ⋮ Analysis of a diffuse interface method for the Stokes-Darcy coupled problem ⋮ A robust solution strategy for the Cahn-Larché equations ⋮ Convergence of the Allen-Cahn equation to the mean curvature flow with \(90^\circ\)-contact angle in 2D

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