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.
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页码：3054 / 3068
页数：15
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