EXISTENCE OF REGULAR SOLUTIONS TO AN ERICKSEN-LESLIE MODEL OF THE LIQUID CRYSTAL SYSTEM

被引：5

作者：

Dai, Mimi ^{[1
]}

机构：

[1] Univ Colorado, Dept Appl Math, Boulder, CO 80309 USA

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2015年 / 13卷 / 07期

关键词：

Liquid crystals; Parodi's relation; regularity; GLOBAL WEAK SOLUTION; ASYMPTOTIC-BEHAVIOR; VARIABLE DEGREE; FLOW;

D O I：

10.4310/CMS.2015.v13.n7.a4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a general Ericksen-Leslie system with non-constant density, which describes the flow of nematic liquid crystal. In particular the model investigated here is associated with Parodi's relation. We prove that in two dimension, the solutions are globally regular with general data, and in three dimension, the solutions are globally regular with small initial data or for a short time with large data. Moreover, a weak-strong type of uniqueness result is obtained.

引用

页码：1711 / 1740

页数：30

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