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arXiv · 1608.02074

Regularity of the $3D$ stationary Hall magnetohydrodynamic equations on the plane

Dongho Chae·Joerg Wolf
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Abstract

We study the regularity of weak solutions to the 3D valued stationary Hall magnetohydrodynamic equations on $ \Bbb R^2$. We prove that every weak solution is smooth. Furthermore, we prove a Liouville type theorem for the Hall equations.

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Dongho Chae, Joerg Wolf. 2016-08-06. Regularity of the $3D$ stationary Hall magnetohydrodynamic equations on the plane. https://doi.org/10.1007/s00220-017-2908-8

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