We consider the Cauchy problem of the ideal MHD system with a constant non-zero background magnetic field $e$. We provide a new proof of global existence for small perturbations of an initial stable state $(0,e)$. The proof is based on the null structure of the system and some new weighted energy estimates established along the characteristics.

中文翻译：

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具有强大磁性背景的理想MHD系统的全球解决方案

我们考虑具有恒定非零背景磁场的理想MHD系统的柯西问题 $Ë$。我们为初始稳定状态的小扰动提供了一个全球存在的新证明。$（0，Ë）$。证明基于系统的零结构和沿特征建立的一些新的加权能量估计。