Global strong solutions of the 2D simplified Ericksen-Leslie system

被引：14
|
作者：
Gong, Huajun [1 ,2 ]
Huang, Jinrui [3 ]
Liu, Lanming [4 ]
Liu, Xiangao [4 ]
机构：
[1] Shenzhen Univ, Coll Informat Engn, Shenzhen 518060, Peoples R China
[2] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
[3] Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Peoples R China
[4] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
来源：
NONLINEARITY | 2015年 / 28卷 / 10期
关键词：
nematic liquid crystals; strong solution; existence; uniqueness; LIQUID-CRYSTAL FLOWS; WEAK SOLUTIONS; EXISTENCE; REGULARITY; DIMENSIONS; EQUATIONS; FLUIDS;
D O I：
10.1088/0951-7715/28/10/3677
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The hydrodynamics of nematic liquid crystals in two dimensions are considered, and the existence of global strong solutions of the system is obtained in the article. Some nonlinear stress terms in the moment equations and transport terms in the director equations, together with the Dirichlet boundary condition, induce some difficulties in the analysis. We introduce an elliptic operator for such coupled system to overcome the problems.
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页码：3677 / 3694
页数：18
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