Derivation of the Navier - Stokes - Poisson system with radiation for an accretion disk
Analysis of PDEs
2018-02-14 v1
Abstract
We study the 3-D compressible barotropic radiation fluid dynamics system describing the motion of the compressible rotating viscous fluid with gravitation and radiation confined to a straight layer. We show that weak solutions in the 3-D domain converge to the strong solution of the rotating 2-D Navier-Stokes-Poisson system with radiation for all times less than the maximal life time of the strong solution of the 2-D system when the Froude number is small or to the strong solution of the rotating pure 2-D Navier- Stokes system with radiation.
Keywords
Cite
@article{arxiv.1705.05905,
title = {Derivation of the Navier - Stokes - Poisson system with radiation for an accretion disk},
author = {Bernard Ducomet and Sarka Necasova and Milan Pokorny and Maria Angeles Rodriguez - Bellido},
journal= {arXiv preprint arXiv:1705.05905},
year = {2018}
}