On the equations of thermally radiative magnetohydrodynamics

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:257

Article

Li, Xiaoli¹  Guo, Boling² 

[1] Beijing Univ Posts & Telecommun, Coll Sci, Beijing 100876, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

关键词: Magnetohydrodynamic (MHD) flows;    Compressible;    Thermally radiative;    Global existence;    Variational (weak) solution;   

DOI  :  10.1016/j.jde.2014.06.015

来源: Elsevier

【 摘 要 】

An initial boundary value problem is considered for the viscous compressible thermally radiative magnetohydrodynamic (MHD) flows coupled to self-gravitation describing the dynamics of gaseous stars in a bounded domain of R-3. The conservative boundary conditions are prescribed. Compared to Ducomet-Feireisl [13] (also see, for instance, Feireisl [18], Feireisl-Novotny [20]), a rather more general constitutive relationship is given in this paper. The analysis allows for the initial density with vacuum. Every transport coefficient admits a certain temperature scaling. The global existence of a variational (weak) solution with any finite energy and finite entropy data is established through a three-level approximation and methods of weak convergence. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free