可压缩Navier-Stokes-Poisson方程整体解的唯一性

Uniqueness of Global Solutions of the Compressible Navier-Stokes-Poisson Equations

考虑了一维带有初始边界值的等熵可压缩的Navier-Stokes-Poisson方程整体解的唯一性问题。在满足相容性条件下,利用Gronwall's不等式和先验估计获得了解的唯一性的证明。在这里允许初始真空的存在性。

The uniqueness of global solutions was considered to the initial boundary value problem for the isentropic compressible Navier- Stokes- Poisson equations in one dimension. And the result of uniqueness by the Gronwall＇s inequality and a priori estimate was obtained under the compatibility condition. In this paper the initial vacuum was allowed.