Donatella Donatelli, Bernard Ducomet, Marek Kobera, Sarka Necasova
Abstract:
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.
Submitted June 21, 2016. Published September 10, 2016.
Math Subject Classifications: 35Q35, 76N15, 67W05.
Key Words: Navier-Stokes-Fourier-Poisson system; radiation transfer;
compressible magnetohydrodynamics; rotation; stellar radiative zone;
weak solution; elliptic-parabolic initial boundary value problem;
vanishing Peclet number; vanishing Mach number;
vanishing Alfven number; classical physics; plasma.
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Donatella Donatelli Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica Universita degli Studi dell'Aquila 67100 L'Aquila, Italy email: donatella.donatelli@univaq.it |
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| Bernard Ducomet CEA, DAM, DIF F-91297 Arpajon, France email: bernard.ducomet@cea.fr | |
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Marek Kobera Mathematical Institute of the Charles University at Prague Sokolovská 83 186 75 Praha 8, Czech Republic email: kobera@centrum.cz |
| Sárka Necasová Institute of Mathematics of the Academy of Sciences of the Czech Republic Zitná 25, 115 67 Praha 1, Czech Republic email: matus@math.cas.cz |
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