NUMERICAL APPROXIMATION OF NEMATIC LIQUID CRYSTAL FLOWS GOVERNED BY THE ERICKSEN-LESLIE EQUATIONS

被引：24

作者：

Walkington, Noel J. ^{[1
]}

机构：

[1] Carnegie Mellon Univ, Dept Math, Pittsburgh, PA 15213 USA

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2011年 / 45卷 / 03期

基金：

美国国家科学基金会;

关键词：

Liquid crystal; Ericksen-Leslie equations; numerical approximation; FINITE-ELEMENT APPROXIMATIONS; EXISTENCE; STABILITY; POINTS;

D O I：

10.1051/m2an/2010065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical approximation of the flow of liquid crystals governed by the Ericksen-Leslie equations is considered. Care is taken to develop numerical schemes which inherit the Hamiltonian structure of these equations and associated stability properties. For a large class of material parameters compactness of the discrete solutions is established which guarantees convergence.

引用

页码：523 / 540

页数：18

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