中文摘要：

主要研究了广义霍尔磁流体力学方程解的快速衰减问题.利用经典的Fourier变换方法,得到了弱解的L2衰减(1+t)-7/4.这一结论主要是基于非线性项的低频效率.

英文摘要：

The rapid time decay for solutions to the generalized Hall‐magneto‐hydrodynamics equations was studied .By developing the classic Fourier splitting methods ,the more rapid L2 decay rate of the weak solutions as (1+ t)- 74 was derived .The trick is mainly based on the even lower frequency effect of the nonlinear term .