On Ericksen's model for liquid crystals

Fang Hua Lin; Chi Cheung Poon

doi:10.1007/BF02921587

On Ericksen's model for liquid crystals

Fang Hua Lin, Chi Cheung Poon

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	379-392
Number of pages	14
Journal	The Journal of Geometric Analysis
Volume	4
Issue number	3
DOIs	https://doi.org/10.1007/BF02921587
State	Published - Sep 1994

Keywords

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

ASJC Scopus subject areas

Geometry and Topology

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10.1007/BF02921587

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title = "On Ericksen's model for liquid crystals",

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.",

keywords = "Existence and regularity results, Math Subject Classification: 35, 49, variational problem",

author = "Lin, {Fang Hua} and Poon, {Chi Cheung}",

year = "1994",

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doi = "10.1007/BF02921587",

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AU - Poon, Chi Cheung

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KW - Existence and regularity results

KW - Math Subject Classification: 35, 49

KW - variational problem

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JF - Journal of Geometric Analysis

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On Ericksen's model for liquid crystals

Abstract

Keywords

ASJC Scopus subject areas

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