A Blow-up Criterion for 2D Compressible Nematic Liquid Crystal Flows in Terms of Density

被引：0
|
作者：
Shengquan Liu
Shujuan Wang
机构：
[1] Liaoning University,School of Mathematics
[2] Institute of Applied Physics and Computational Mathematics,Department of Mathematics and Information Science
[3] Zhengzhou University of Light Industry,undefined
来源：
Acta Applicandae Mathematicae | 2017年 / 147卷
关键词：
Compressible nematic liquid crystal; Strong solution; Blow up criterion; Vacuum; 76W05; 76N10; 35B45;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper is concerned with the Cauchy problem for compressible nematic liquid crystal flows in the two-dimensional space (2D). We establish a blow-up criterion in terms of the density only, provided the macroscopic average of the nematic liquid crystal orientation field satisfies a geometric condition. In particular, the initial vacuum is allowed and the compatibility condition is removed.
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页码：39 / 62
页数：23
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