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

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

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.",

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T1 - Time evolution of nematic liquid crystals with variable degree of orientation

AU - Calderer, M. C.

AU - Golovaty, D.

AU - Lin, F. H.

AU - Liu, C.

PY - 2002

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.

UR - https://www.scopus.com/pages/publications/0036373949

UR - https://www.scopus.com/pages/publications/0036373949#tab=citedBy

U2 - 10.1137/S0036141099362086

DO - 10.1137/S0036141099362086

M3 - Article

AN - SCOPUS:0036373949

SN - 0036-1410

VL - 33

SP - 1033

EP - 1047

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 5

ER -

Time evolution of nematic liquid crystals with variable degree of orientation

Abstract

All Science Journal Classification (ASJC) codes

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