ON PARTIAL REGULARITY FOR THE 3D NONSTATIONARY HALL MAGNETOHYDRODYNAMICS EQUATIONS ON THE PLANE.

We study partial regularity of weak solutions of the three-dimensional (3D) valued nonstationary Hall magnetohydrodynamics equations on R². In particular, we prove the existence of a weak solution whose set of possible singularities has the space-time Hausdorff dimension at most two. [ABSTRACT FROM AUTHOR]