Stability of weak solutions for the compressible Navier-Stokes-Poisson equations
Stability of weak solutions for the compressible Navier-Stokes-Poisson equations
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DOI：
10.1007/s10255-012-0173-3
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发表时间：
2012-06
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影响因子：
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通讯作者：
Ruxu Lian;Mingjie Li
中科院分区：
文献类型：
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作者：
Ruxu Lian;Mingjie Li
本文考虑天体物理中由带电粒子输运或气态恒星运动引起的等熵可压缩Navier-Stokes-Poisson方程。我们对粘性系数依赖于密度并在真空出现时退化的情形感兴趣，并证明了空间多维有界或周期区域或整个空间上任意大数据的弱解的L1-稳定性.
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 theL1-stability of weak solutions for arbitrarily large data on spatial multi-dimensional bounded or periodic domain or whole space.