The 3D Non-isentropic Compressible Euler Equations with Damping in a Bounded Domain

被引：0
|
作者：
Yinghui ZHANG [1 ]
Guochun WU [2 ]
机构：
[1] Department of Mathematics, Hunan Institute of Science and Technology
[2] Academy of Mathematics and Systems Science, Chinese Academy of Sciences
来源：
Chinese Annals of Mathematics,Series B | 2016年 / 06期
基金：
中国国家自然科学基金;
关键词：
Non-isentropic; Euler equations; Damping; Exponential convergence;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
The authors investigate the global existence and asymptotic behavior of classical solutions to the 3D non-isentropic compressible Euler equations with damping on a bounded domain with slip boundary condition. The global existence and uniqueness of classical solutions are obtained when the initial data are near an equilibrium. Furthermore,the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods.
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页码：915 / 928
页数：14
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