Uniform boundedness in time and large time behavior of weak solutions to a kind of dissipative system |
| |
Authors: | Huimin Yu |
| |
Institution: | Department of Mathematics, Shandong Normal University, Jinan, 250014, China |
| |
Abstract: | This paper deals with the uniform boundedness (as well as the existence) and large time behavior of the weak entropy solutions to a kind of compressible Euler equation with dissipation effect. The existence and uniform boundedness in time of weak solutions are proved by using the Lax-Friedrichs scheme and compensate compactness. Time asymptotically, the density is showed to satisfy a kind of nonlinear Fokker-Planck equation and the momentum obeys to the Darcy’s law. As a by product, the exponentially decay rate is obtained. |
| |
Keywords: | 35M33 35Q35 76S05 |
本文献已被 ScienceDirect 等数据库收录! |
|