Uniform Regularity for the Compressible Navier-Stokes-Poisson System under Navier-Slip Boundary Conditions

In this paper, we establish the existence of a local-in-time strong solution to the compressible Navier–Stokes–Poisson system in a three-dimensional bounded smooth domain, subject to the general Navier–slip boundary condition. The solution is shown to be uniformly bounded in conormal Sobolev spaces, with uniform regularity estimates that are independent of the viscosity coefficients. As a consequence, we obtain the inviscid limit to the corresponding compressible Euler–Poisson system via a strong compactness argument.