Logarithmically improved blow-up criteria for the nematic liquid crystal flows

被引：17
|
作者：
Liu, Qiao [1 ]
Zhao, Jihong [2 ]
机构：
[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
[2] Northwest A&F Univ, Coll Sci, Yangling 712100, Shaanxi, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 16卷
基金：
中国国家自然科学基金;
关键词：
REGULARITY CRITERION; HEAT-FLOW; WELL-POSEDNESS; WEAK SOLUTIONS; HARMONIC MAPS; EULER;
D O I：
10.1016/j.nonrwa.2013.09.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate blow-up criteria for the local in time classical solution of the nematic liquid crystal flows in dimensions two and three. More precisely, we prove that 0 < T-* < +infinity is the maximal time interval if and only if (i) for n = 3, [GRAPHICS] [GRAPHICS] and (ii) for n = 2. [GRAPHICS] (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：178 / 190
页数：13
相关论文
共 50 条
12345