This paper considers the planar magnetohydrodynamic system with the influence of radiation on the dynamics at high temperature regimes. When the viscosity $\mu$ depending on the specific volume of the gas ($\mu ={\tilde{\mu }}_1+{\tilde{\mu }}_2{v}^{-\alpha }$ with ${\tilde{\mu }}_1>0,{\tilde{\mu }}_2\ge 0$) and the heat conductivity $\kappa$ being a power function of the temperature ($\kappa =\tilde{\kappa }{\theta }^{\beta }$ with $\tilde{\kappa }>0$), the global existence of strong solution with large initial data to the magnetohydrodynamic system is proved in unbounded domains for any $\alpha \ge 0$ and $\beta \ge 0$. In particular, the constant coefficients case ($\mu$ and $\kappa$ are positive constants) is also covered in our theorem.

中文翻译：

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具有不受密度限制的粘度和退化的导热性的可压缩和辐射MHD流动的全球强大解决方案

本文考虑了平面磁流体动力学系统，该系统在高温状态下具有辐射对动力学的影响。当粘度$\mu$ 取决于气体的具体体积（$\mu ={\tilde{\mu }}_{\mathrm{1个}}+{\tilde{\mu }}_{\mathrm{2个}}{v}^{-\alpha }$ 和 ${\tilde{\mu }}_{\mathrm{1个}}>0，{\tilde{\mu }}_{\mathrm{2个}}\ge 0$）和热导率 $\kappa$ 是温度的幂函数（$\kappa =\tilde{\kappa }{\theta }^{\beta }$ 和 $\tilde{\kappa }>0$），证明了对于磁流体动力学系统而言，具有大量初始数据的强解的整体存在性 $\alpha \ge 0$ 和 $\beta \ge 0$。特别是在常数系数的情况下（$\mu$ 和 $\kappa$ 是正常数）也包含在我们的定理中。