Homogenization of a Ginzburg-Landau model for a nematic liquid crystal with inclusions
type: Item
instance of: scholarly article
title: Homogenization of a Ginzburg-Landau model for a nematic liquid crystal with inclusions
zbMATH Open document ID: 1162.35316
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2005-05-04T00:00:00Z
review text: The authors consider a nonlinear homogenization problem relative to a Ginzburg-Landau functional with a (positive or negative) surface energy term, which describes a nematic liquid crystal with inclusions. The inclusions are separated by distances of the same order \(\epsilon\) of their size and Have periodic or non-periodic distribution. The authors show that the corresponding homogenized problem is described by an anisotropic Ginzburg-Landau functional. Computational formulas for the effective material characteristic of an effective medium are obtained. The authors prove also that a cross-term corresponding to interactions between the bulk and the surface energy terms does not appear at the leading order in the homogenized problem.
reviewed by: Marco Biroli
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 82D25
Mathematics Subject Classification ID: 76M50
zbMATH DE Number: 2164958
zbMATH Keywords: homogenization
zbMATH Keywords: variational methods
zbMATH Keywords: crystals
zbMATH Keywords: homogenization in fluid mechanics
author: Leonid Berlyand
author: D. Cioranescu
author: Dmitry Golovaty
MaRDI profile type: Publication
full work available at URL: j.matpur.2004.09.013
OpenAlex ID: W2077054732
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DOI: 10.1016/J.MATPUR.2004.09.013
description: scientific article; zbMATH DE number 2164958