GLOBAL STRONG SOLUTIONS OF THE COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOW WITH THE CYLINDER SYMMETRY

被引：6

作者：

Tao, Qiang ^{[1
]}

Gao, Jincheng ^{[2
]}

Yao, Zheng-An ^{[2
]}

机构：

[1] Shenzhen Univ, Coll Math & Computat Sci, Shenzhen, Peoples R China

[2] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou, Guangdong, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2015年 / 13卷 / 08期

基金：

芬兰科学院;

关键词：

Nematic liquid crystal flow; global strong solution; long time behavior; regularity; NAVIER-STOKES EQUATIONS; BOUNDARY-LAYERS; CYLINDRICAL SYMMETRY; HYDRODYNAMIC FLOW; EXISTENCE; FLUIDS; VISCOSITY;

D O I：

10.4310/CMS.2015.v13.n8.a5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the well-posedness of the compressible nematic liquid crystal flow with the cylinder symmetry in R-3. By establishing a uniform pointwise positive lower and upper bounds of the density, we derive the global existence and uniqueness of strong solution and show the long time behavior of the global solution. Our results do not need the smallness of the initial data. Furthermore, a regularity result of global strong solution is given as well.

引用

页码：2065 / 2096

页数：32

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