Low Mach number limit for a model of accretion disk

0489042 - MÚ 2019 RIV US eng J - Journal Article
Donatelli, D. - Ducomet, B. - Nečasová, Šárka
Low Mach number limit for a model of accretion disk.
Discrete and Continuous Dynamical Systems. Roč. 38, č. 7 (2018), s. 3239-3268. ISSN 1078-0947. E-ISSN 1553-5231
R&D Projects: GA ČR GA13-00522S; GA ČR GA16-03230S
Institutional support: RVO:67985840
Keywords : Navier-Stokes-Fourier-Poisson system * magnetohydrodynamics * radiating transfer
OECD category: Pure mathematics
Impact factor: 1.143, year: 2018
http://aimsciences.org/article/doi/10.3934/dcds.2018141

We study an hydrodynamical model describing the motion of thick astrophysical disks relying on compressible Navier-Stokes-Fourier-Poisson system. We also suppose that the medium is electrically charged and we include energy exchanges through radiative transfer. Supposing that the system is rotating, we study the singular limit of the system when the Mach number, the Alfven number and Froude number go to zero and we prove convergence to a 3D incompressible MHD system with radiation with two stationary linear transport equations for transport of radiation intensity.
Permanent Link: http://hdl.handle.net/11104/0283529