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 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.
|Titolo:||Low mach and Péclet number limit for a model of stellar tachocline and upper radiative zones|
|Autori interni:||DONATELLI, DONATELLA|
|Data di pubblicazione:||2016|
|Rivista:||ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS|
|Appare nelle tipologie:||1.1 Articolo in rivista|