Derivation of the Navier - Stokes - Poisson system with radiation for an accretion disk

0489961 - MÚ 2019 RIV CH eng J - Journal Article
Ducomet, B. - Nečasová, Šárka - Pokorný, M. - Rodríguez-Bellido, M. A.
Derivation of the Navier - Stokes - Poisson system with radiation for an accretion disk.
Journal of Mathematical Fluid Mechanics. Roč. 20, č. 2 (2018), s. 697-719. ISSN 1422-6928. E-ISSN 1422-6952
R&D Projects: GA ČR GA16-03230S
Institutional support: RVO:67985840
Keywords : Navier-Stokes-Poisson system * radiation * rotation
OECD category: Pure mathematics
Impact factor: 1.532, year: 2018
https://link.springer.com/article/10.1007%2Fs00021-017-0358-x

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 ..., where \omega is a 2-D domain. 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 in \omega as ... for all times less than the maximal life time of the strong solution of the 2-D system when the Froude number is small ..., the rotating pure 2-D Navier–Stokes system with radiation in \omega as ...
Permanent Link: http://hdl.handle.net/11104/0284254