A Model of Radiational Gaseous Stars
Analysis of PDEs
2017-06-08 v2 Mathematical Physics
math.MP
Abstract
We introduce a model concerning radiational gaseous stars and establish the existence theory of stationary solutions to the free boundary problem of hydrostatic equations describing the radiative equilibrium. We also concern the local well-posedness of the moving boundary problem of the corresponding Navier-Stokes-Fourier-Poisson system and construct a prior estimates of strong and classical solutions. Our results explore the vacuum behaviour of density and temperature near the free boundary for the equilibrium and capture such degeneracy in the evolutionary problem.
Keywords
Cite
@article{arxiv.1612.07936,
title = {A Model of Radiational Gaseous Stars},
author = {Xin Liu},
journal= {arXiv preprint arXiv:1612.07936},
year = {2017}
}