Optimal decay rate for the compressible Navier–Stokes–Poisson system in the critical Lp framework.

In this paper, we consider the large time behavior of global solutions to the initial value problem for the compressible Navier–Stokes–Poisson system in the L p critical framework and in any dimension N ≥ 3 . We obtain the time decay rates, not only for Lebesgue spaces, but also for a family of Besov norms with negative or nonnegative regularity exponents , which improves the decay results in high Sobolev regularity. The proof is mainly based on the Littlewood–Paley theory and refined time weighted inequalities in Fourier space. [ABSTRACT FROM AUTHOR]