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We study partial regularity of weak solutions of the 3D valued non-stationaryHall magnetohydrodynamics equations on $ \Bbb R^2$. In particular we prove theexistence of a weak solution whose set of possible singularities has thespace-time Hausdorff dimension at most two.

On partial regularity for the $3D$ non-stationary Hall magnetohydrodynamics equations on the plane