文献类型：期刊文献

英文题名：DECAY RATE OF STRONG SOLUTIONS TO COMPRESSIBLE NAVIER-STOKES-POISSON EQUATIONS WITH EXTERNAL FORCE

作者：Li, Yeping[1];Zhang, Nengqiu[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2019

外文期刊名：ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000467054900001)】；

基金：We are grateful to the anonymous referees for the valuable comments which greatly improved our original manuscript. This research was supported in part by the National Science Foundation of China (Grant No. 11671134).

语种：英文

外文关键词：Navier-Stokes-Poisson equation; stationary solution; strong solution; energy estimate; optimal decay rate

摘要：In this article, we consider the three dimensional compressible Navier-Stokes-Poisson equations with the effect of external potential force. First, the stationary solution is established by solving a nonlinear elliptic system. Next, we show global well-posedness of the strong solutions for the initial value problem to the three dimensional compressible Navier-Stokes-Poisson equations when the initial data are close to the stationary solution in H-2(R-3). Moreover, if the L-1(R-3)-norm of initial perturbation is finite, we prove the optimal L-p(R-3) (2 <= p <= 6) decay rates for such strong solution and L-2(R-3) decay rate of its first-order spatial derivatives via a low frequency and high frequency decomposition.