On the asymptotic behavior of solutions to 3D generalized Hall‐MHD equations

In this paper, we establish the L p ‐norm ( 1 < p ≤ ∞ ) algebraic decay rate of solutions and higher‐order derivative of solutions for 3D generalized Hall‐MHD system provided that the L 1 ‐norm of initial data is sufficiently small and the parameters α ∈ 5 4 , 2 , β ∈ 7 4 , 2 .