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
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
收藏
页码:1445 / 1456
页数:12
相关论文
共 50 条