On some Liouville type Theorems for the stationary MHD and Hall-MHD equations
arXiv:1902.00740
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.
Our proof is incomplete. We need to check it