Global existence of spherically symmetry solutions for isothermal Euler-Poisson system outside a ball
Analysis of PDEs
2023-08-25 v1
Abstract
In this paper, we consider an isothermal Euler-Poisson system with self-gravitational force, modeling a compact star such as strange quark star. We prove that there exists a global entropy solution with spherically symmetry outside a ball, through the fractional Lax-Friedrichs scheme and the theory of compensated compactness.
Keywords
Cite
@article{arxiv.2308.12567,
title = {Global existence of spherically symmetry solutions for isothermal Euler-Poisson system outside a ball},
author = {Lingjun Liu},
journal= {arXiv preprint arXiv:2308.12567},
year = {2023}
}