Two new regularity criteria for nematic liquid crystal flows

被引：18
|
作者：
Wei, Ruiying [1 ,2 ]
Li, Yin [1 ,2 ]
Yao, Zheng-an [1 ]
机构：
[1] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China
[2] Shaoguan Univ, Sch Math & Stat, Shaoguan 512005, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 424卷 / 01期
关键词：
Liquid crystal; Regularity criteria; Weak solution; NAVIER-STOKES-EQUATIONS; ONE VELOCITY COMPONENT; WEAK SOLUTIONS; GRADIENT; R-3;
D O I：
10.1016/j.jmaa.2014.10.089
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we present two new regularity criteria for three-dimensional nematic liquid crystal flows. More precisely, we show that if delta(3)u is an element of L-beta(0,T;L-alpha(R-3)) with 2/beta + 3/alpha <= 3(alpha+2)/4 alpha (alpha > 2), or u(3), del d is an element of L-beta/(0, T; L-alpha(R-3)) with 2/beta + 3/alpha <= 3/4 + 1/2 alpha (alpha > 10/3), then the corresponding weak solution (u, d) can be extended beyond T. (C) 2014 Elsevier Inc. All rights reserved.
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页码：636 / 650
页数：15
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