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arXiv · 1902.00740

On some Liouville type Theorems for the stationary MHD and Hall-MHD equations

Zhouyu Li·Pan Liu·Pengcheng Niu
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Abstract

We prove several Liouville type results for the stationary MHD and Hall-MHD equations. In particular, we show that the velocity and magnetic field, belonging to some Lorentz spaces or satisfying a priori decay assumption, must be zero.

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Zhouyu Li, Pan Liu, Pengcheng Niu. 2020-09-09. On some Liouville type Theorems for the stationary MHD and Hall-MHD equations. https://arxiv.org/abs/1902.00740

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