PreprintCC BY 4.0arXiv
On a Local Existence Theorem for the Evolution Equation of Viscous Gaseous Stars in a Physical Vacuum
Abstract
This paper focuses on the free boundary problem of the three-dimensional compressible Navier-Stokes-Poisson equations with degenerate viscosities for self-gravitating viscous gaseous stars. For spherically symmetric barotropic motion, we establish the local well-posedness of classical solutions. The solutions obtained here are smooth all the way up to the moving boundary and capture the physical vacuum boundary behavior of the Lane-Emden star configuration for all adiabatic exponents γ>4/3.
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BibTeX
@misc{wang2026local,
title = {{On a Local Existence Theorem for the Evolution Equation of Viscous Gaseous Stars in a Physical Vacuum}},
author = {Demin Wang and Jiawen Zhang and Shengguo Zhu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.22822},
eprint = {2606.22822},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.22822},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On a Local Existence Theorem for the Evolution Equation of Viscous Gaseous Stars in a Physical Vacuum
AU - Demin Wang
AU - Jiawen Zhang
AU - Shengguo Zhu
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2606.22822
UR - https://arxiv.org/abs/2606.22822
AB - This paper focuses on the free boundary problem of the three-dimensional compressible Navier-Stokes-Poisson equations with degenerate viscosities for self-gravitating viscous gaseous stars. For spherically symmetric barotropic motion, we establish the local well-posedness of classical solutions. The solutions obtained here are smooth all the way up to the moving boundary and capture the physical vacuum boundary behavior of the Lane-Emden star configuration for all adiabatic exponents γ>4/3.
ER -