Journal of Function Spaces (Jan 2017)
A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces
Abstract
We are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations in this paper. We show that if some partial derivatives of the velocity components and magnetic components belong to the multiplier spaces, then the solution actually is smooth on (0,T).