On Ericksen's model for liquid crystals

Fang Hua Lin, Chi Cheung Poon

Research output: Contribution to journalArticle

Abstract

We consider a new mathematical model for nematic liquid crystal proposed by J. Ericksen using Landau's order parameter approach. In this model, the static configuration of liquid crystal can be described by a map minimizing certain degenerate variational integral. Here we prove that minimizers exist and are Holder continuous.

Original languageEnglish (US)
Pages (from-to)379-392
Number of pages14
JournalThe Journal of Geometric Analysis
Volume4
Issue number3
DOIs
StatePublished - Sep 1 1994

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Keywords

  • Existence and regularity results
  • Math Subject Classification: 35, 49
  • variational problem

ASJC Scopus subject areas

  • Geometry and Topology

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