Year: 2026
Type: preprint
Abstract: The study of vacuum is important in understanding compressible flows. In particular, physical vacuum, which ensures a finite, nontrivial pressure-induced acceleration in the normal direction on the moving boundary, naturally arises in the study of the motion of gaseous stars. In this paper, we analyze the free boundary problem for the three-dimensional compressible Navier--Stokes--Poisson equations with degenerate viscosities for self-gravitating viscous gaseous stars. For the spherically symmetric and barotropic motion, we establish the global existence of the unique classical solution without any restriction on the size of the initial data. Our solutions are classical up to the moving boundary for positive times, and preserve the physical vacuum boundary behavior of the Lane--Emden star configuration.
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: W7168183737