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

被引：7
|
作者：
Liu, Shengquan [1 ,2 ]
Wang, Shujuan [3 ]
机构：
[1] Liaoning Univ, Sch Math, Shenyang 110036, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
[3] Zhengzhou Univ Light Ind, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2017年 / 147卷 / 01期
基金：
中国博士后科学基金;
关键词：
Compressible nematic liquid crystal; Strong solution; Blow up criterion; Vacuum; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; TEMPORAL DECAY; HARMONIC MAPS; ENERGY;
D O I：
10.1007/s10440-016-0067-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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：24
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