Abstract: |
The purpose of this paper is to establish the Liouville type theorems for the
stationary Hall-MHD equations on R^3 . We prove that the velocity and magnetic fields,
belonging to some Lorentz spaces, must be zero. In particular, we also show Liouville type
results for 3D stationary Navier-Stokes equations. Our results extend and generalize previous
result contained in Kozono, et al., (2017). |
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