LOW MACH AND P ´ ECLET NUMBER LIMIT FOR A MODEL OF STELLAR TACHOCLINE AND UPPER RADIATIVE ZONES

Donatella Donatelli, Bernard Ducomet, Marek Kobera, S Arka Ně
2016 Electronic Journal of Differential Equations   unpublished
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 Alfvén number, the Péclet number and the Froude number approache zero in a certain way and prove convergence to a 3D incompressible MHD
more » ... ncompressible 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.
fatcat:hdoauatuybg4tmaprcpwa374xm