Asymptotic compactness of global trajectories generated by the Navier-Stokes-Poisson equations of a compressible fluid

被引:7
作者
Jiang, Fei [1 ]
Tan, Zhong [1 ]
Yan, Qiaolian [1 ]
机构
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
来源
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2009年 / 16卷 / 03期
关键词
Compressible Navier-Stokes-Poisson equations; Long-time behavior; Asymptotic compactness; Weak solution; Bounded absorbing set; SELF-GRAVITATING FLUIDS; WEAK SOLUTIONS; EXISTENCE; FLOW; OSCILLATIONS; PROPAGATION; ATTRACTORS;
D O I
10.1007/s00030-009-0021-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the global behavior of weak solutions of Navier-Stokes-Poisson equations in time in a bounded domain-arbitrary forces. After proving the existence of bounded absorbing sets, we also obtain the conclusion on asymptotic compactness of global trajectories generated by the Navier-Stokes-Poisson equations of a compressible fluid.
引用
收藏
页码:355 / 380
页数:26
相关论文
共 27 条
[1]  
[Anonymous], 1994, An introduction to the mathematical theory of the Navier-Stokes equations
[2]  
[Anonymous], 1993, Jpn. J. Ind. Appl. Math.
[3]  
[Anonymous], 1986, Japan J. Appl. Math, DOI DOI 10.1007/BF03167100
[4]  
Bogovskii M. E., 1980, Proc. Sobolev Sem., V1, P5
[5]   Local and global existence for the coupled Navier-Stokes-Poisson problem [J].
Donatelli, D .
QUARTERLY OF APPLIED MATHEMATICS, 2003, 61 (02) :345-361
[6]   On the dynamics of gaseous stars [J].
Ducomet, B ;
Feireisl, E .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2004, 174 (02) :221-266
[7]  
Ducomet B, 2004, DISCRETE CONT DYN-A, V11, P113
[8]   Global existence for compressible barotropic self-gravitating fluids [J].
Ducomet, B ;
Feireisl, E ;
Petzeltová, H ;
Straskraba, I .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2001, 332 (07) :627-632
[9]   On compactness of solutions to the Navier-Stokes equations of compressible flow [J].
Feireisl, E ;
Petzeltová, H .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 163 (01) :57-75
[10]   On integrability up to the boundary of the weak solutions of the Navier-Stokes equations of compressible flow [J].
Feireisl, E ;
Petzeltová, H .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2000, 25 (3-4) :755-767