A note on the regularity criterion for the 3D MHD equations in B_{infty, infty} space

In this paper the authors provide a new regularity criterion for the existence of weak solutions to the 3D incompressible magnetohydrodynnamic equations in special Besov spaces. To this end the authors use current techniques from BMO spaces. The paper also extends recent results from S. Gala for regularity criteria of weak solutions to the Navier Stokes System in similar scales of Besov spaces and fits nicely within the current line of investigation.