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| The 3D Non-isentropic Compressible Euler Equations with Damping in a Bounded Domain |
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Citation： |
Yinghui ZHANG,Guochun WU.The 3D Non-isentropic Compressible Euler Equations with Damping in a Bounded Domain[J].Chinese Annals of Mathematics B,2016,37(6):915~928 |
| Page view： 1643
Net amount： 1326 |
Authors： |
Yinghui ZHANG; Guochun WU |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11301172, 11226170, 11571280) and the
Scientific Research Fund of Hunan Provincial Education Department
(No.14B077). |
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| Abstract： |
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. |
Keywords： |
Non-isentropic, Euler equations, Damping, Exponential convergence |
Classification： |
35Q30, 76N15 |
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