Liouville type Theorems for the 3D stationary Hall‐MHD equations

Abstract

Abstract The purpose of this paper is to establish the Liouville type theorems for the stationary Hall‐MHD equations on . 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) [15].