Complete bounded trajectories and attractors for compressible barotropic self-gravitating fluid

被引：8

作者：

Jiang, Fei ^{[1
]}

Tan, Zhong ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 351卷 / 01期

基金：

美国国家科学基金会;

关键词：

Compressible Navier-Stokes equations; Asymptotic compactness; Weak solution; Bounded absorbing set; Attractor; Closed trajectory; Short trajectory; NAVIER-STOKES EQUATIONS; STABILITY; STARS; FLOW;

D O I：

10.1016/j.jmaa.2008.10.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It this paper, we consider the global behavior of weak solutions of the Navier-Stokes system of compressible barotropic self-gravitating fluids in time in a bounded three dimension domain-arbitrary forces. Under certain restrictions imposed on the adiabatic constant gamma, we prove the existence of global compact attractors. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：408 / 427

页数：20

共 22 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] Global existence for compressible barotropic self-gravitating fluids
Ducomet, B
Feireisl, E
Petzeltová, H
Straskraba, I
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2001, 332 (07): : 627 - 632
[6] On integrability up to the boundary of the weak solutions of the Navier-Stokes equations of compressible flow
Feireisl, E
Petzeltová, H
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2000, 25 (3-4) : 755 - 767
[7] Propagation of oscillations, complete trajectories and attractors for compressible flows
Feireisl, E
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2003, 10 (01): : 33 - 55
[8] On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid
Feireisl, E
Novotny, A
Petzeltová, H
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2002, 25 (12) : 1045 - 1073
[9] Asymptotic compactness of global trajectories generated by the Navier-Stokes equations of a compressible fluid
Feireisl, E
Petzeltová, H
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 173 (02) : 390 - 409
[10] Bounded absorbing sets for the Navier-Stokes equations of compressible fluid
Feireisl, E
Petzeltová, H
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2001, 26 (7-8) : 1133 - 1144

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