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

被引：0
|
作者：
Tao Huang
Changyou Wang
Huanyao Wen
机构：
[1] University of Kentucky,Department of Mathematics
[2] South China Normal University,School of Mathematical Sciences
来源：
Archive for Rational Mechanics and Analysis | 2012年 / 204卷
关键词：
Liquid Crystal; Strong Solution; Nematic Liquid Crystal; Partial Regularity; Global Weak Solution;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：285 / 311
页数：26
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