In this paper, we study the space–time decay rate of solutions to three-dimensional incompressible MHD equations with Hall and ion-slip effects in the whole space ${\mathbb{R}}^3$. Based on a parabolic interpolation inequality, bootstrap argument, and some weighted estimates, we obtain the higher order mixed spatial and time derivative estimates for such a system.

中文翻译：

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具有霍尔效应和离子滑移效应的三维 MHD 方程解的时空衰减

在本文中，我们研究了具有霍尔效应和离子滑移效应的三维不可压缩 MHD 方程解在整个空间中的时空衰减率 ${\mathbb{电阻}}^3$. 基于抛物线插值不等式、bootstrap 参数和一些加权估计，我们获得了此类系统的高阶混合空间和时间导数估计。