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：

暂无

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.

引用

页码：39 / 62

页数：23

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