Stability of weak solutions for the compressible Navier-Stokes-Poisson equations

被引:0
作者
Ru-xu Lian
Ming-jie Li
机构
[1] North China University of Water Resources and Electric Power,College of Mathematics and Information Science
[2] Capital Normal University,School of Mathematical Sciences
来源
Acta Mathematicae Applicatae Sinica, English Series | 2012年 / 28卷
关键词
compressible fluid; Navier-Stokes-Poisson equations; stability; 35Q35; 76D03;
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学科分类号
摘要
In this paper, we consider the isentropic compressible Navier-Stokes-Poisson equations arising from transport of charged particles or motion of gaseous stars in astrophysics. We are interested in the case that the viscosity coefficients depend on the density and shall degenerate in the appearance of (density) vacuum, and show the L1-stability of weak solutions for arbitrarily large data on spatial multi-dimensional bounded or periodic domain or whole space.
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页码:597 / 606
页数:9
相关论文
共 37 条
[1]  
Bresch D.(2003)Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model Comm. Math. Phys. 238 211-223
[2]  
Desjardins B.(2003)On some compressible fluid models Korteweg, lubrication, and shallow water systems Comm. Partial Differential Equations 28 843-868
[3]  
Bresch D.(1999)Some asymptotics for a reactive Navier-Stokes-Poisson system Math. Models Methods Appl. Sci. 9 1039-1076
[4]  
Desjardins B.(1999)A remark about global existence for the Navier-Stokes-Poisson system Appl. Math. Lett. 12 31-37
[5]  
Lin C.-K.(2004)On the dynamics of gaseous stars Arch. Rational Mech. Anal. 174 221-266
[6]  
Ducomet B.(2004)Global in time weak solutions for compressible barotropic self-gravitative fluids Discrete Continuous Dynam. systems 11 113-130
[7]  
Ducomet B.(2001)Remark on the stabilization of a viscous barotropic medium with a nonmonotonic equation of state Appl. Math. Lett. 14 921-926
[8]  
Ducomet B.(2003)Local and global existence for the coupled Navier-Stokes-Poisson problem Quart. Appl. Math. 61 345-361
[9]  
Feireisl E.(2001)On the existence of globally defined weak solutions to the Navier-Stokes equations of isentropic compressible fluids J. Math. Fluid Mech. 3 358-392
[10]  
Ducomet B.(1992)Spherically symmetric solutions of the Navier-Stokes equations for compressible, isothermal flow with large, discontinuous initial data Indiana Univ. Math. J. 41 1225-1302