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Stability of Weak Solutions for the Compressible Navier-Stokes-Poisson Equations 被引量：1

Stability of Weak Solutions for the Compressible Navier-Stokes-Poisson Equations
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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 Ll-stability of weak solutions for arbitrarily large data on spatial multi-dimensional bounded or periodic domain or whole space. 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 Ll-stability of weak solutions for arbitrarily large data on spatial multi-dimensional bounded or periodic domain or whole space.
作者 Ru-xu LIAN Ming-jie LI
机构地区 College of Mathematics and Information Science School of Mathematical Sciences
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2012年第3期597-606,共10页 应用数学学报（英文版）
基金 supported by the National Natural Science Foundation of China (No. 10871134) the Program for New Century Excellent Talents in University support of the Ministry of Education of China (No. NCET-06-0186)
关键词 compressible fluid Navier-Stokes-Poisson equations STABILITY compressible fluid, Navier-Stokes-Poisson equations, stability
分类号 O241.82 [理学—计算数学] O357.5 [理学—流体力学]
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  • 1Bresch, D., Desjardins, B. Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model. Comm. Math. Phys., 238(1-2): 211-223 (2003).
  • 2Bresch, D., Desjardins, B., Lin, C.-K. On some compressible fluid models Korteweg, lubrication, and shallow water systems. Comm. Partial Differential Equations, 28(3-4): 843-868 (2003).
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  • 5Ducomet, B., Feireisl, E. On the dynamics of gaseous stars. Arch. Rational Mech. Anal., 174:221-266 (2004).
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Acta Mathematicae Applicatae Sinica
2012年 第3期

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