A regularity criterion for the three-dimensional nematic liquid crystal flow in terms of one directional derivative of the velocity

被引：19

作者：

Liu, Qiao ^{[1
]}

Zhao, Jihong ^{[1
]}

Cui, Shangbin ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 03期

基金：

中国国家自然科学基金;

关键词：

WEAK SOLUTIONS;

D O I：

10.1063/1.3567170

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we provide a sufficient condition for regularity of solutions to the 3D nematic liquid crystal flow in the entire space in terms of one directional derivative of the velocity field. More precisely, we prove that if partial derivative(3)u belongs to L-beta(0, T; L-alpha(R-3)) with 3/alpha + 2/beta <= 1 and alpha > 3, then the solution (u, d) is regular. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3567170]

引用

页数：8

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