On some Liouville type theorems for the stationary equations of MHD

Abstract

We prove several Liouville type results for the stationary Hall-MHD and MHD equations. In particular, we show that the velocity and magnetic field, belonging to some Lorentz spaces, must be zero.

There is a key error in our proofs

References in corpus (2)

• Liouville Type Theorem for Stationary Navier-Stokes Equations
• A Liouville Type Theorem for Steady-State Navier-Stokes Equations