Large time behavior of solutions to the non-isentropic compressible Navier-Stokes-Poisson system in $\mathbb{R}^{3}$

We are concerned with the long-time behavior of global strong solutions to the non-isentropic compressible Navier-Stokes-Poisson system in R-3, where the electric field is governed by the self-consistent Poisson equation. When the regular initial perturbations belong to H-4(R-3) boolean AND (B) over dot(1,infinity)(-s) (R-3) with s is an element of [0,1], we show that the density and momentum of the system converge to their equilibrium state at the optimal L-2-rates (1 + t)(-3/4-s/2) and (1 + t)(-1/4-s/2) respectively, and the decay rate is still (1 + t)(-3/4) for temperature which is proved to be not optimal.National Natural Science Foundation of China-NSAF [10976026