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.
On partial regularity for the steady Hall magnetohydrodynamics system
Hyperbolicity and genuine nonlinearity conditions for certain p-systems of conservation laws, weak solutions and the entropy condition
On Uniqueness of Weak Solution of the Navier-Stokes Equations in the Dimension Three
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