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arxiv: 1806.03427 · v2 · pith:7KB2O7BRnew · submitted 2018-06-09 · 🧮 math.AP

On some Liouville type theorems for the stationary equations of MHD

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keywords equationsliouvillesomestationarytypebelongingfieldhall-mhd
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We prove several Liouville type results for the stationary Hall-MHD and MHD equations. In particular, we show that the velocity and magnetic field, belonging to some Lorentz spaces, must be zero.

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