Abstract
We study the regularity of weak solutions to the 3D valued stationary Hall magnetohydrodynamic equations on \({\mathbb{R}^2}\). We prove that every weak solution is smooth. Furthermore, we prove a Liouville type theorem for the Hall equations.
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Chae, D., Wolf, J. Regularity of the 3D Stationary Hall Magnetohydrodynamic Equations on the Plane. Commun. Math. Phys. 354, 213–230 (2017). https://doi.org/10.1007/s00220-017-2908-8
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DOI: https://doi.org/10.1007/s00220-017-2908-8