Global Existence and Large Time Behavior of Strong Solutions to the 2-D Compressible Nematic Liquid Crystal Flows with Vacuum

被引：0
作者：
Teng Wang
机构：
[1] Beijing Forestry University,Department of Mathematics, School of Science
来源：
Journal of Mathematical Fluid Mechanics | 2016年 / 18卷
关键词：
Compressible nematic liquid crystal flows; global strong solutions; large-time behavior; cauchy problem; vacuum;
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学科分类号：
摘要：
This paper is concerned with the strong solutions to the Cauchy problem of a simplified Ericksen-Leslie system of compressible nematic liquid crystals in two or three dimensions with vacuum as far field density. For strong solutions, some a priori decay rate (in large time) for the pressure, the spatial gradient of velocity field and the second spatial gradient of liquid crystal director field are obtained provided that the initial total energy is suitably small. Furthermore, with the help of the key decay rates, we establish the global existence and uniqueness of strong solutions (which may be of possibly large oscillations) in two spatial dimensions.
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页码：539 / 569
页数：30
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