Global Behavior of Spherically Symmetric Navier–Stokes–Poisson System with Degenerate Viscosity Coefficients
Global Behavior of Spherically Symmetric Navier–Stokes–Poisson System with Degenerate Viscosity Coefficients
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DOI：
10.1007/s00205-008-0183-8
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发表时间：
2009-02
影响因子：
2.5
通讯作者：
Ting Zhang;D. Fang
中科院分区：
文献类型：
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作者：
Ting Zhang;D. Fang
本文研究了具有退化粘性系数和无固体核的可压缩球对称Navier-Stokes-Poisson方程的自由边界问题。在对初值施加一定的假设条件下，我们得到了弱解的整体存在唯一性，并给出了解的一致界(关于时间)。此外，我们还得到了解的稳定化速度估计。结果表明，该系统在微小扰动下是稳定的，可以应用于天体物理。
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.