Blow Up Criterion for Compressible Nematic Liquid Crystal Flows in Dimension Three

被引：96
|
作者：
Huang, Tao [1 ]
Wang, Changyou
Wen, Huanyao
机构：
[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2012年 / 204卷 / 01期
基金：
美国国家科学基金会;
关键词：
NAVIER-STOKES EQUATIONS;
D O I：
10.1007/s00205-011-0476-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the short time strong solution to a simplified hydrodynamic flow modeling compressible, nematic liquid crystal materials in dimension three. We establish a criterion for possible breakdown of such solutions at a finite time in terms of the temporal integral of both the maximum norm of the deformation tensor of the velocity gradient and the square of the maximum norm of the gradient of a liquid crystal director field.
引用
收藏
页码：285 / 311
页数：27
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