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

SYSNO ASEP	0462799
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Low Mach and Peclet number limit for a model of stellar tachocline and upper radiative zones
Author(s)	Donatelli, D. (IT) Ducomet, B. (FR) Kobera, M. (CZ) Nečasová, Šárka (MU-W)_{RID, SAI, ORCID}
Source Title	Electronic Journal of Differential Equations. - : Texas State University - ISSN 1072-6691 Roč. 2016, Č. 245 (2016), s. 1-31
Number of pages	31 s.
Language	eng - English
Country	US - United States
Keywords	Navier-Stokes-Fourier-Poisson system ; radiation transfer ; compressible magnetohydrodynamics
Subject RIV	BA - General Mathematics
R&D Projects	GA16-03230S GA ČR - Czech Science Foundation (CSF)
Institutional support	MU-W - RVO:67985840
UT WOS	000382919800001
EID SCOPUS	84987720183
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2017

Number of the records: 1