Global solution to the one-dimensional equations for a self-gravitating thermal radiative magnetohydrodynamics

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:389

Article

Huang, Lan

关键词: Magnetohydrodynamics;    Global existence;    Self-gravitation;   

DOI  :  10.1016/j.jmaa.2011.11.080

来源: Elsevier

【 摘 要 】

In this paper, we consider a system of equations describing a motion of a self-gravitating one-dimensional gaseous medium coupled to magnetic fields in the presence of radiation effects. We have proved that for any large initial data, the problem under consideration admits a unique global solution when the temperature growth index satisfies q > 7/4. The results have enlarge the scope of the index of heat conductivity for previous results q > 2+root 211/9 approximate to 1.83 (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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