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

Published 2 Feb 2019 in math.AP | (1902.00740v2)

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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