In this paper, we establish a small data global well-posedness results for 3D incompressible MHD equations with Hall and ion-slip effects. Then, by using Fourier splitting method and iteration, we consider the decay rate on higher order derivative of solutions.

中文翻译：

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具有霍尔效应和离子滑移效应的3D MHD方程解的整体适定性和衰减表征

在本文中，我们建立了具有霍尔效应和离子滑移效应的3D不可压缩MHD方程的小数据全局适定性结果。然后，通过傅里叶分裂法和迭代法，我们考虑了解的高阶导数的衰减率。