On a Local Existence Theorem for the Evolution Equation of Viscous Gaseous Stars in a Physical Vacuum
Year: 2026
Type: preprint
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 $γ>\frac{4}{3}$.
Source: arXiv (Cornell University)
Authors: Wang, Demin, Zhang, Jiawen, Zhu, Shengguo
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1734674818, G1964258002
OpenAlex ID: W7165656081