Global solution for a one-dimensional model problem in thermally radiative magnetohydrodynamics
Global solution for a one-dimensional model problem in thermally radiative magnetohydrodynamics
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DOI：
10.1016/j.jde.2008.07.010
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发表时间：
2008-10
影响因子：
2.4
通讯作者：
Jianwen Zhang;Feng Xie
中科院分区：
文献类型：
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作者：
Jianwen Zhang;Feng Xie
气态恒星的动力学通常由磁场与自引力和辐射效应耦合来描述。本文考虑了非线性平面磁流体动力学（MHD）的初边值问题，其中考虑了自引力效应以及高温区辐射对动力学的影响。基于基本的局部存在性结果和整体时间先验估计，在相当一般的热传导率假设下，我们建立了初边值问题具有大初值的唯一古典解的整体存在性.
The dynamics of gaseous stars is often described by magnetic fields coupled to self-gravitation and radiation effects. In this paper we consider an initial–boundary value problem for nonlinear planar magnetohydrodynamics (MHD) in the case that the effect of self-gravitation as well as the influence of radiation on the dynamics at high temperature regimes are taken into account. Based on the fundamental local existence results and global-in-time a priori estimates, we establish the global existence of a unique classical solution with large initial data to the initial–boundary value problem under quite general assumptions on the heat conductivity.