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

Published 11 Feb 2015 in math.AP | (1502.03474v1)

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

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