In this paper, we discuss the system of full compressible magnetohydrodynamic equations with replacing the Fourier’s law by Cattaneo’s law in R . First, local existence of solutions for general initial data and global existence of solutions for small initial data are shown. Then we obtain the uniform convergence of solutions of the relaxed system to that of the classical system when the relaxation time goes to 0.

中文翻译：

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完全可压缩磁流体动力学弛豫时间的极限行为与卡塔尼奥定律

在本文中，我们讨论了在 R 中用 Cattaneo 定律代替傅立叶定律的完全可压缩磁流体动力学方程组。首先，给出了一般初始数据解的局部存在性和小初始数据解的全局存在性。然后我们得到松弛时间趋于 0 时松弛系统的解对经典系统解的一致收敛。