This paper solves the stability problem on a partially dissipated system of magnetohydrodynamic equations near a background magnetic field. Large-time behavior of the corresponding linearized system is also obtained. These results presented in this paper rigorously confirm a nonlinear phenomenon observed in physical experiments that the magnetic field actually stabilizes electrically conducting fluids.

中文翻译：

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磁场对导电流体的平滑和稳定作用

本文解决了背景磁场附近的磁流体动力学方程的部分耗散系统的稳定性问题。还获得了相应线性化系统的长时间行为。本文中提出的这些结果严格证实了在物理实验中观察到的非线性现象，即磁场实际上稳定了导电流体。