Regularity criterion for 3D MHD fluid passing through the porous medium in terms of gradient pressure

The aim of the paper is to establish regularity criteria for the weak solution of fluid passing through the porous media in R3R3. Our results show that if ∇P∈Lα,γ∇P∈Lα,γ with 2α+3γ≤3,1≤γ≤∞1≤γ≤∞, then the weak solution is regular and unique; if P∈Lα,γP∈Lα,γ with 2α+3γ≤2,32≤γ≤∞, then the weak solution is regular and unique.