Propagation of Density-Oscillations in Solutions to the Compressible Navier-Stokes-Poisson System

作     者：Zhong TAN Yanjin WANG 

作者机构：Department of Mathematics Xiamen University Xiamen 361005 Fujian China Department of Mathematics Xiamen UniversityXiamen 3610051 Fujian China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2008年第29卷第5期

页      面：501-520页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China (No. 10531020) the Program of 985Innovation Engineering on Information in Xiamen University (2004–2007) the New Century ExcellentTalents in Xiamen University 

主　　题：Compressible fluids Navier-Stokes-Poisson equations Young measures Propagation of oscillations Strong solutions 

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.