LOW MACH AND PECLET NUMBER LIMIT FOR A MODEL OF STELLAR TACHOCLINE AND UPPER RADIATIVE ZONES

被引：0

作者：

Donatelli, Donatella ^{[1
]}

Ducomet, Bernard ^{[2
]}

Kobera, Marek ^{[3
]}

Necasova, Sarka ^{[4
]}

机构：

[1] Univ Aquila, Dipartimento Ingn & Sci Informaz & Matemat, I-67100 Laquila, Italy

[2] CEA, DAM, DIF, F-91297 Arpajon, France

[3] Charles Univ Prague, Inst Math, Sokolovska 83, Prague 18575 8, Czech Republic

[4] Acad Sci Czech Republic, Inst Math, Zitna 25, CR-11567 Prague 1, Czech Republic

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

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; COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS; FLOWS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：31

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