Compressible hydrodynamic flow of nematic liquid crystals with vacuum

被引：11
作者：
Huang, Jinrui [1 ]
Ding, Shijin [2 ]
机构：
[1] Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Peoples R China
[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 258卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Free boundary problem; Nematic liquid crystals; Compressible hydrodynamic flow; Weak solutions; Smooth solutions; NAVIER-STOKES EQUATIONS; DENSITY-DEPENDENT VISCOSITY; ONE-DIMENSION; SMOOTH SOLUTIONS; STATE; COEFFICIENT; GAS;
D O I：
10.1016/j.jde.2014.11.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first consider the free boundary problem for a simplified version of Ericksen-Leslie equations modeling the compressible hydrodynamic flow of nematic liquid crystals in dimension one which connects continuously to vacuum. We obtain the existence of global weak solutions. Furthermore, we establish the life-span of smooth solutions to the compressible nematic liquid crystal model with the support of density growing sublinearly in time direction. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：1653 / 1684
页数：32
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