Low Mach and Peclet number limit for a model of stellar tachocline and upper radiative zones

0462799 - MÚ 2017 RIV US eng J - Journal Article
Donatelli, D. - Ducomet, B. - Kobera, M. - Nečasová, Šárka
Low Mach and Peclet number limit for a model of stellar tachocline and upper radiative zones.
Electronic Journal of Differential Equations. Roč. 2016, Č. 245 (2016), s. 1-31. ISSN 1072-6691
R&D Projects: GA ČR GA16-03230S
Institutional support: RVO:67985840
Keywords : Navier-Stokes-Fourier-Poisson system * radiation transfer * compressible magnetohydrodynamics
Subject RIV: BA - General Mathematics
Impact factor: 0.954, year: 2016
http://ejde.math.txstate.edu/Volumes/2016/245/abstr.html

We study a hydrodynamical model describing the motion of internal stellar layers based on compressible Navier-Stokes-Fourier-Poisson system. We suppose that the medium is electrically charged, we include energy exchanges through radiative transfer and we assume that the system is rotating. We analyze the singular limit of this system when the Mach number, the Alfven number, the Peclet number and the Froude number approache zero in a certain way and prove convergence to a 3D incompressible MHD system with a stationary linear transport equation for transport of radiation intensity. Finally, we show that the energy equation reduces to a steady equation for the temperature corrector.
Permanent Link: http://hdl.handle.net/11104/0262186