A Serrin Type Criterion for Incompressible Hydrodynamic Flow of Liquid Crystals in Dimension Three

被引：4

作者：

Huang, Bingyuan ^{[1
]}

机构：

[1] Hanshan Normal Univ, Dept Basic Educ, Chaozhou 521041, Peoples R China

来源：

FILOMAT | 2014年 / 28卷 / 07期

关键词：

Liquid crystals; incompressible flow; strong solutions; Serrin type criterion; REGULARITY; EQUATIONS;

D O I：

10.2298/FIL1407445H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we establish a Serrin type criterion for strong solutions to a simplified density-dependent Ericksen-Leslie system modeling incompressible, nematic liquid crystal materials in dimension three. The density may vanish in an open subset of Omega. As a byproduct, we establish the Serrin type criterion for heat flow of harmonic map whose gradients belong to L-x(r) L-t(s), where 2/s + 3/r <= 1, for 3 < r <= infinity.

引用

页码：1445 / 1456

页数：12

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