ON GLOBAL BEHAVIOR OF WEAK SOLUTIONS OF COMPRESSIBLE FLOWS OF NEMATIC LIQUID CRYSTALS

被引：0
|
作者：
王伟伟 [1 ]
机构：
[1] College of Mathematics and Computer Science,Fuzhou University
来源：
Acta Mathematica Scientia | 2015年 / 03期
关键词：
Liquid crystals; weak solutions; bounded absorbing set; bounded trajectories; attractor;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程]; O354 [气体动力学（可压缩流体力学）];
学科分类号：
070104 ; 080103 ; 080704 ;
摘要：
In this article,we investigate the global behavior of weak solutions of a simplified Ericksen-Leslie system for compressible flows of nematic liquid crystals in time in a bounded three-dimension domain-arbitrary forces.By adapting the arguments for the compressible Navier-Stokes equations,and carefully analyzing the direction field of liquid crystals in the equations of angular momentum,we show the existence of bounded absorbing sets,global bounded trajectories,and global attractors to weak solutions of compressible flows of nematic liquid crystals with the adiabatic constant γ>5/3.
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页码：650 / 672
页数：23
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