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| Propagation of Density-Oscillations in Solutions to the Compressible Navier-Stokes-Poisson System |
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Citation： |
Zhong TAN,Yanjin WANG.Propagation of Density-Oscillations in Solutions to the Compressible Navier-Stokes-Poisson System[J].Chinese Annals of Mathematics B,2008,29(5):501~520 |
| Page view： 1148
Net amount： 1363 |
Authors： |
Zhong TAN; Yanjin WANG |
Foundation： |
the National Natural Science Foundation of China (No. 10531020) and the Program of 985 Innovation Engineering on Information in Xiamen University (2004–2007) and the New Century Excellent Talents in Xiamen University |
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| Abstract： |
Concerning a bounded sequence of finite energy weak solutions to the compressible Navier-Stokes-Poisson system (denoted by CNSP), which converges up to extraction of a subsequence, the limit system may not be the same system. By introducing Young measures as in [6, 15], the authors deduce the system (HCNSP) which the limit functions must satisfy. Then they solve this system in a subclass where Young measures are convex combinations of Dirac measures, to give the information on the propagation of density-oscillations. The results for strong solutions to (CNSP) (see Corollary 6.1) are also obtained. |
Keywords： |
Compressible fluids, Navier-Stokes-Poisson equations, Young measures, Propagation of oscillations, Strong solutions |
Classification： |
35A05, 35M10, 76M50, 76N10 |
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