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
JournalJournal of Geometric Analysis
Volume4
Issue number3
DOIs
StatePublished - Sep 1994

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Nematic Liquid Crystal
Minimizer
Liquid Crystal
Order Parameter
Mathematical Model
Configuration
Model

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Geometry and Topology

Cite this

On Ericksen's model for liquid crystals. / Lin, Fang-Hua; Poon, Chi Cheung.

In: Journal of Geometric Analysis, Vol. 4, No. 3, 09.1994, p. 379-392.

Research output: Contribution to journalArticle

Lin, Fang-Hua ; Poon, Chi Cheung. / On Ericksen's model for liquid crystals. In: Journal of Geometric Analysis. 1994 ; Vol. 4, No. 3. pp. 379-392.
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