A note on the decay estimates for the compressible Navier-Stokes-Poisson system in critical Besov spaces (Mathematical Analysis of Viscous Incompressible Fluid)

Abstract

This is a survey on the Cauchy problem for the Navier-Stokes-Poisson system in the critical regularity framework. Under a suitable additional condition involving only the low frequencies of the data, we establish optimal decay estimates in the L^{2}-critical framework for the global solutions around small perturbations of a linearly stable constant state.