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

被引:0
作者
Zhong TAN Yanjin WANG Department of Mathematics Xiamen University Xiamen Fujian China Department of Mathematics Xiamen University Xiamen Fujian China [361005 ,361005 ]
机构
关键词
Compressible fluids; Navier-Stokes-Poisson equations; Young measures; Propagation of oscillations; Strong solutions;
D O I
暂无
中图分类号
O354 [气体动力学(可压缩流体力学)];
学科分类号
080103 ; 080704 ;
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:20
相关论文
共 26 条
[21]  
Convergence of compressible Euler-Maxwell equations to compressible Euler- Poisson equations. Peng, Y. J.,Wang, S. Chinese Annals of Mathematics . 2007
[22]  
A course on Young measures. Valadier,M. Rend. Istit. Mat. Univ. Trieste . 1994
[23]  
Periodic and Stationary Solutions for Compressible Navier-Stokes Equations Via a Stability Method. Valli,A. Ann. Sc. Sup. Pisa . 1983
[24]  
Young measures Methods of Nonconvex Analysis. Valadier,M. Lecture Notes in Mathematics . 1990
[25]  
Variations de grande amplitude pour la densite d’un fluide visqueux compressible. Serre,D. Physica D Nonlinear Phenomena . 1991
[26]  
On the existence of global solutions to two-dimensional Navier-Stokes equations of a compressible viscous fluid (in Russian). Vaigant,V.A.,Kazhikhov,A.V. Sibirskij Mat. Z . 1995