Propagation of density-oscillations in solutions to the compressible Navier-Stokes-Poisson system

被引：0
作者：
Zhong Tan
Yanjin Wang
机构：
[1] Xiamen University,Department of Mathematics
来源：
Chinese Annals of Mathematics, Series B | 2008年 / 29卷
关键词：
Compressible fluids; Navier-Stokes-Poisson equations; Young measures; Propagation of oscillations; Strong solutions; 35A05; 35M10; 76M50; 76N10;
D O I：
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学科分类号：
摘要：
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.
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页码：501 / 520
页数：19
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