Time evolution of nematic liquid crystals with variable degree of orientation

M. C. Calderer; D. Golovaty; F. H. Lin; C. Liu

doi:10.1137/S0036141099362086

Time evolution of nematic liquid crystals with variable degree of orientation

M. C. Calderer, D. Golovaty, F. H. Lin, C. Liu

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26 Scopus citations

Abstract

We consider an evolution system, describing the time-dependent behavior of nematic liquid crystals with variable degree of orientation within the continuum model of Ericksen. We establish a dissipation relation and prove both the global existence of weak solutions and the local existence of classical solutions. Furthermore, we investigate the stability and long-time behavior of solutions and obtain an exact solution of the corresponding stationary system in a one-dimensional case.

Original language	English (US)
Pages (from-to)	1033-1047
Number of pages	15
Journal	SIAM Journal on Mathematical Analysis
Volume	33
Issue number	5
DOIs	https://doi.org/10.1137/S0036141099362086
State	Published - 2002

All Science Journal Classification (ASJC) codes

Computational Mathematics
Analysis
Applied Mathematics

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10.1137/S0036141099362086

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title = "Time evolution of nematic liquid crystals with variable degree of orientation",

abstract = "We consider an evolution system, describing the time-dependent behavior of nematic liquid crystals with variable degree of orientation within the continuum model of Ericksen. We establish a dissipation relation and prove both the global existence of weak solutions and the local existence of classical solutions. Furthermore, we investigate the stability and long-time behavior of solutions and obtain an exact solution of the corresponding stationary system in a one-dimensional case.",

author = "Calderer, {M. C.} and D. Golovaty and Lin, {F. H.} and C. Liu",

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AU - Calderer, M. C.

AU - Golovaty, D.

AU - Lin, F. H.

AU - Liu, C.

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Y1 - 2002

N2 - We consider an evolution system, describing the time-dependent behavior of nematic liquid crystals with variable degree of orientation within the continuum model of Ericksen. We establish a dissipation relation and prove both the global existence of weak solutions and the local existence of classical solutions. Furthermore, we investigate the stability and long-time behavior of solutions and obtain an exact solution of the corresponding stationary system in a one-dimensional case.

AB - We consider an evolution system, describing the time-dependent behavior of nematic liquid crystals with variable degree of orientation within the continuum model of Ericksen. We establish a dissipation relation and prove both the global existence of weak solutions and the local existence of classical solutions. Furthermore, we investigate the stability and long-time behavior of solutions and obtain an exact solution of the corresponding stationary system in a one-dimensional case.

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DO - 10.1137/S0036141099362086

M3 - Article

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

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ER -

Time evolution of nematic liquid crystals with variable degree of orientation

Abstract

All Science Journal Classification (ASJC) codes

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