Uniform Regularity for the Compressible Navier-Stokes-Poisson System under Navier-Slip Boundary Conditions
Year: 2026
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Liu, Hairong, Wu, Jinlong
Institution: Nanjing University of Science and Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G48529154, G6917912577
OpenAlex ID: W7223661174