On a \(\Gamma\)-limit of a family of anisotropic singular perturbations

DOI10.1007/BF02678209zbMath0885.49006MaRDI QIDQ1360908

Dmitry Golovaty

Publication date: 30 March 1998

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156279

zbMATH Keywords

singular perturbationsinterfacial energy density\(\Gamma\) convergencenonconvex energy functional

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (1)

A Ginzburg--Landau-Type Problem for Highly Anisotropic Nematic Liquid Crystals

Cites Work

• Singular perturbations of variational problems arising from a two-phase transition model
• The effect of a singular perturbation on nonconvex variational problems
• An introduction to \(\Gamma\)-convergence
• The gradient theory of phase transitions and the minimal interface criterion
• The gradient theory of phase transitions for systems with two potential wells
• Local minimisers and singular perturbations
• Nonconvex variational problems with anisotropic perturbations
• Anisotropic singular perturbations—the vectorial case
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