A regularity condition of strong solutions to the two-dimensional equations of compressible nematic liquid crystal flows

被引：5
|
作者：
Wang, Teng [1 ]
机构：
[1] Beijing Forestry Univ, Sch Sci, Dept Math, Beijing 100083, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 03期
关键词：
compressible nematic liquid crystal flows; regularity criterion; Cauchy problem; vacuum; NAVIER-STOKES EQUATIONS; BLOW-UP CRITERION; CLASSICAL-SOLUTIONS; VACUUM;
D O I：
10.1002/mma.3990
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the short time strong solutions for Cauchy problem to a simplified Ericksen-Leslie system of compressible nematic liquid crystals in two dimensions with vacuum as far field density. We establish a blow-up criterion for possible breakdown of such solutions at a finite time, which is analogous to the well-known Serrin's blow-up criterion for the incompressible Navier-Stokes equations. Copyright (C) 2016 John Wiley & Sons, Ltd.
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页码：546 / 563
页数：18
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