Li, YepingZhang, Nengqiu2021-11-052021-11-052019-05-07Li, Y., & Zhang, N. (2019). Decay rate of strong solutions to compressible Navier-Stokes-Poisson equations with external force. <i>Electronic Journal of Differential Equations, 2019</i>(61), pp. 1-18.1072-6691https://hdl.handle.net/10877/14794In 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 H2(ℝ3)-norm of initial perturbation is finite, we prove the optimal Lp(ℝ3) (2 ≤ p ≤ 6) decay rates for such strong solution and L2(ℝ3) decay rate of its first-order spatial derivatives via a low frequency and high frequency decomposition.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalNavier-Stokes-Poisson equationStationary solutionStrong solutionEnergy estimateOptimal decay rateArticle