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GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR THE 3D COMPRESSIBLE NON–ISENTROPIC EULER EQUATIONS WITH DAMPING 被引量:4

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR THE 3D COMPRESSIBLE NON–ISENTROPIC EULER EQUATIONS WITH DAMPING
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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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 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)
关键词 Euler equations with damping global existence asymptotic behavior Euler equations with damping global existence asymptotic behavior
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