Homogenization of Cahn-Hilliard-type equations via evolutionary \(\Gamma\)-convergence

DOI10.1007/s00030-018-0495-9zbMath1412.35024OpenAlexW2600453268MaRDI QIDQ1705179

Matthias Liero, Sina Reichelt

Publication date: 14 March 2018

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-018-0495-9

zbMATH Keywords

evolutionary variational inequalitygradient systemstwo-scale convergenceevolutionary \(\Gamma\)-convergenceenergy-dissipation principle

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear parabolic equations (35K55) Methods involving semicontinuity and convergence; relaxation (49J45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Initial value problems for higher-order parabolic equations (35K30)

Related Items (9)

Stochastic two-scale convergence and Young measures ⋮ Homogenization of a coupled incompressible Stokes-Cahn-Hilliard system modeling binary fluid mixture in a porous medium ⋮ Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction ⋮ \( \Gamma \)-compactness and \(\Gamma \)-stability of maximal monotone flows ⋮ Stochastic Unfolding and Homogenization of Spring Network Models ⋮ Stochastic homogenization of \(\Lambda\)-convex gradient flows ⋮ An existence result and evolutionary \(\varGamma \)-convergence for perturbed gradient systems ⋮ Coarse-graining via EDP-convergence for linear fast-slow reaction systems ⋮ A homogenization result in the gradient theory of phase transitions

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