论文标题
3-D可压缩的Navier-Stokes-Poisson在有限域上的初始边界问题的全局解决方案
Global Solutions to the initial boundary problem of 3-D compressible Navier-Stokes-Poisson on bounded domains
论文作者
论文摘要
在本文中，在$ \ mathbb {r}^3 $中的一个有限域上考虑了可压缩的Navier-Stokes-Poisson的初始边界值问题。在指数稳定的情况下，建立了具有物理边界条件的可压缩Navier-Stokes-Poisson附近的平滑解决方案的全球平滑解决方案。一个重要的特征是稳态（速度除外）和背景轮廓允许具有很大的变化。
The initial boundary value problems for compressible Navier-Stokes-Poisson is considered on a bounded domain in $\mathbb{R}^3$ in this paper. The global existence of smooth solutions near a given steady state for compressible Navier-Stokes-Poisson with physical boundary conditions is established with the exponential stability. An important feature is that the steady state (except velocity) and the background profile are allowed to be of large variation.
