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

被引：2
|
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.
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页码：1445 / 1456
页数：12
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