Homogénéisation d'une fonctionnelle de Ginzburg-Landau

Translated title of the contribution: Homogenization of a Ginzburg-Landau functional

Leonid Berlyand, Doina Cioranescu, Dmitry Golovaty

Research output: Contribution to journalArticle

Abstract

We consider a nonlinear homogenization problem for a Ginzburg-Landau functional with a (positive or negative) surface energy term describing a nematic liquid crystal with inclusions. Assuming that sizes and distances between inclusions are of the same order ε, we obtain a limiting functional as ε → 0. We generalize the method of mesocharacteristics to show that a corresponding homogenized problem for arbitrary, periodic or non-periodic geometries is described by an anisotropic Ginzburg-Landau functional. We give computational formulas for material characteristics of an effective medium.

Translated title of the contributionHomogenization of a Ginzburg-Landau functional
Original languageFrench
Pages (from-to)87-92
Number of pages6
JournalComptes Rendus Mathematique
Volume340
Issue number1
DOIs
StatePublished - Jan 1 2005

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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