PreprintCC BY 4.0arXiv
Uniform Regularity for the Compressible Navier-Stokes-Poisson System under Navier-Slip Boundary Conditions
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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BibTeX
@misc{liu2026uniform,
title = {{Uniform Regularity for the Compressible Navier-Stokes-Poisson System under Navier-Slip Boundary Conditions}},
author = {Hairong Liu and Jinlong Wu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.32454},
eprint = {2610.32454},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.32454},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Uniform Regularity for the Compressible Navier-Stokes-Poisson System under Navier-Slip Boundary Conditions
AU - Hairong Liu
AU - Jinlong Wu
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.32454
UR - https://arxiv.org/abs/2610.32454
AB - 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.
ER -