Global classical solutions to the 3D nematic liquid crystal flows with two directional viscosity

被引：2
|
作者：
Wang, Yinxia [1 ]
机构：
[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 109卷
关键词：
Nematic liquid crystal flows; Two directional viscosity; Global classical solutions; BLOW-UP CRITERION; WELL-POSEDNESS; EXISTENCE; EQUATIONS;
D O I：
10.1016/j.aml.2020.106547
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the initial value problem for the three dimensional nematic liquid crystal flows with two directional viscosity. The main purpose of this paper is to establish global well-posedness of classical small solutions. The proof is mainly based on the energy estimate, anisotropic type Sobolev inequality and bootstrapping argument. (C) 2020 Elsevier Ltd. All rights reserved.
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