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arxiv: 1608.02074 · v1 · pith:SELUC4DWnew · submitted 2016-08-06 · 🧮 math.AP

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

classification 🧮 math.AP
keywords equationshallmagnetohydrodynamicproveregularitystationaryweakevery
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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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