Regularity Criteria for the 3D Magneto-Hydrodynamics Equations in Anisotropic Lorentz Spaces

In this paper, we investigate the regularity of weak solutions to the 3D incompressible MHD equations. We provide a regularity criterion for weak solutions involving any two groups functions (partial derivative(1)u(1), partial derivative(1)b(1)), (partial derivative(2)u(2), partial derivative(2)b(2)) and (partial derivative(3)u(3), partial derivative(3)b(3)) in anisotropic Lorentz space.