On the interior regularity criteria for liquid crystal flows

被引：5
|
作者：
Lai, Baishun [1 ]
Ma, Wenya [2 ]
机构：
[1] Henan Univ, Inst Contemporary Math, Kaifeng 475004, Peoples R China
[2] Henan Agr Univ, Coll Informat & Management Sci, Zhengzhou 450002, Henan, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2018年 / 40卷
基金：
中国国家自然科学基金;
关键词：
Regularity criteria; Suitable weak solutions; Liquid crystal flows; SUITABLE WEAK SOLUTIONS;
D O I：
10.1016/j.nonrwa.2017.08.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we provide some new regularity criteria for suitable weak solutions to the 3D nematic liquid crystal flow in terms of the velocity field. More precisely, we prove that the suitable weak solution (u,d) is regular provided that either the scaled L-P,L-q norm of u, or the scaled LP,q norm of del x u is sufficiently small. (C) 2017 Elsevier Ltd. All rights reserved.
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页码：1 / 13
页数：13
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