Global Behavior of Spherically Symmetric Navier–Stokes–Poisson System with Degenerate Viscosity Coefficients

被引：6
作者：
Ting Zhang
Daoyuan Fang
机构：
[1] Zhejiang University,Department of Mathematics
来源：
Archive for Rational Mechanics and Analysis | 2009年 / 191卷
关键词：
Free Boundary; Global Existence; Free Boundary Problem; Global Behavior; Solid Core;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study a free boundary problem for compressible spherically symmetric Navier–Stokes–Poisson equations with degenerate viscosity coefficients and without a solid core. Under certain assumptions that are imposed on the initial data, we obtain the global existence and uniqueness of the weak solution and give some uniform bounds (with respect to time) of the solution. Moreover, we obtain some stabilization rate estimates of the solution. The results show that such a system is stable under small perturbations, and could be applied to the astrophysics.
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页码：195 / 243
页数：48
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