GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR THE 3D COMPRESSIBLE NON–ISENTROPIC EULER EQUATIONS WITH DAMPING  

作　　者：张映辉 吴国春 

机构地区：[1]Department of Mathematics,Hu’nan Institute of Science and Technology [2]School of Mathematics and Statistics,Central China Normal University [3]School of Mathematical Sciences,Xiamen University

出　　处：《Acta Mathematica Scientia》2014年第2期424-434,共11页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(11301172,11226170);China Postdoctoral Science Foundation funded project(2012M511640);Hunan Provincial Natural Science Foundation of China(13JJ4095)

摘　　要：We investigate the global existence and asymptotic behavior of classical solutions for the 3D compressible non-isentropic damped Euler equations on a periodic domain. The global existence and uniqueness of classical solutions are obtained when the initial data is near an equilibrium. Furthermore, the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods.We investigate the global existence and asymptotic behavior of classical solutions for the 3D compressible non-isentropic damped Euler equations on a periodic domain. The global existence and uniqueness of classical solutions are obtained when the initial data is near an equilibrium. Furthermore, the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods.

关 键 词：Euler equations with damping global existence asymptotic behavior 

分 类 号：O175[理学—数学]