\(\Gamma\)-asymptotic developments, the Cahn-Hilliard functional, and curvatures

DOI10.1006/jmaa.1996.0061zbMath0857.49007OpenAlexW2037851925MaRDI QIDQ1916760

Sisto Baldo, Giandomenico Orlandi, Gabriele Anzellotti

Publication date: 12 March 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0061

zbMATH Keywords

\(\Gamma\)-convergenceasymptotic developmentsCahn-Hilliard functionalModica-Mortola functionalsphase transition problems

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Numerical methods of relaxation type (49M20)

Related Items (6)

Γ-convergence: a tool to investigate physical phenomena across scales ⋮ Γ-type estimates for the one-dimensional Allen–Cahn’s action ⋮ Second order asymptotic development for the anisotropic Cahn-Hilliard functional ⋮ Second-order \(\Gamma\)-limit for the Cahn-Hilliard functional ⋮ Sharp interface limit of a multi-phase transitions model under nonisothermal conditions ⋮ Higher Order Gamma-limits for Singularly Perturbed Dirichlet--Neumann Problems

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