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arXiv · 2610.32454

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

Hairong Liu·Jinlong Wu
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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.

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Hairong Liu, Jinlong Wu. 2026-10-23. Uniform Regularity for the Compressible Navier-Stokes-Poisson System under Navier-Slip Boundary Conditions. https://arxiv.org/abs/2610.32454

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