We consider a simplified model based on the Navier-Stokes-Fourier system coupled to a transport equation and the Maxwell system, proposed to describe radiative flows in stars. We establish global- in-time existence for the associated initial-boundary value problem in the framework of weak solutions. Next, 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 steadily rotating. We analyze the singular limit of this system when the Mach number, the Alfven number, the Peclet number and the Froude number go to 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.
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:352088 |
| Date | January 2016 |
| Creators | Kobera, Marek |
| Contributors | Nečasová, Šárka, Franců, Jan, Neustupa, Jiří |
| Source Sets | Czech ETDs |
| Language | English |
| Detected Language | English |
| Type | info:eu-repo/semantics/doctoralThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
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