On weak solution to the steady compressible flow of nematic liquid crystals

被引：0

作者：

Xu, Qiuju ^{[1
]}

Tan, Zhong ^{[2
,3
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401131, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen, Peoples R China

[3] Xiamen Univ, Fujian Prov Key Lab Math Modeling & Sci Comp, Xiamen, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Ginzburg-Landau approximation; three-dimensional steady compressible nematic liquid crystal flow; weak convergence; weak solution; BLOW-UP CRITERION; EXISTENCE; EQUATIONS; REGULARITY;

D O I：

10.1002/mma.5565

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the three-dimensional-simplified Ericksen-Leslie system for the steady compressible flow of nematic liquid crystals in a bounded domain. It is proved that the existence of a weak solution for the adiabatic exponent gamma > 1 provided the initial direction field in the upper hemisphere.

引用

页码：3054 / 3068

页数：15

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