Special Session 87: 

LIOUVILLE TYPE THEOREMS FOR THE 3D STATIONARY HALL-MHD EQUATIONS

Zhouyu Li
Northwestern Polytechnical University
Peoples Rep of China
Co-Author(s):    Zhouyu Li, Pengcheng Niu
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).