In this paper, we establish the $L^p$-norm ( $1<p\le \infty$) algebraic decay rate of solutions and higher-order derivative of solutions for 3D generalized Hall-MHD system provided that the L¹-norm of initial data is sufficiently small and the parameters $\alpha \in \left[\frac{5}{4},2\right]$, $\beta \in \left[\frac{7}{4},2\right]$.

中文翻译：

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关于 3D 广义霍尔-MHD 方程解的渐近行为

在本文中，我们建立 ${升}^{磷}$-规范（ $1<磷\le \infty$) 3D 广义霍尔-MHD系统的解的代数衰减率和解的高阶导数，前提是初始数据的L ^{1 -}范数足够小并且参数$\alpha \in \left[\frac{5}{4},2\right]$, $\beta \in \left[\frac{7}{4},2\right]$.