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

Dongho Chae; Joerg Wolf

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arXiv · 1502.03474

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

Dongho Chae·Joerg Wolf

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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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Dongho Chae, Joerg Wolf. 2015-02-11. On partial regularity for the $3D$ non-stationary Hall magnetohydrodynamics equations on the plane. https://arxiv.org/abs/1502.03474

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