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

被引：9

作者：

Zhang, Yinghui ^{[1
]}

Wu, Guochun ^{[2
]}

机构：

[1] Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Hunan, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2016年 / 37卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Non-isentropic; Euler equations; Damping; Exponential convergence; NONLINEAR DIFFUSION WAVES; THROUGH POROUS-MEDIA; NAVIER-STOKES EQUATIONS; OPTIMAL CONVERGENCE-RATES; LARGE TIME BEHAVIOR; P-SYSTEM; ASYMPTOTIC-BEHAVIOR; GLOBAL EXISTENCE; FLOW; VACUUM;

D O I：

10.1007/s11401-016-1039-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：915 / 928

页数：14

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