Liouville type theorems for the stationary Hall-MHD equations in local Morrey spaces
- Resource Type
- Working Paper
- Authors
- Li, Zhouyu; Su, Yifan
- Source
- Subject
- Mathematics - Analysis of PDEs
- Language
This paper is concerned with the Liouville type theorems for the 3D stationary incompressible Hall-MHD equations. We establish that under some sufficient conditions in local Morrey spaces, solutions of the stationary Hall-MHD equations are identically zero. In particular, we also prove Liouville type results for the stationary incompressible MHD equations on $\mathbb{R}^3$. Our theorems extend and generalize the classical results for the stationary incompressible Navier-Stokes equations.