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arXiv · 2204.12686

Liouville type theorems for the stationary Hall-MHD equations in local Morrey spaces

Zhouyu Li·Yifan Su
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Abstract

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.

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Zhouyu Li, Yifan Su. 2022-04-27. Liouville type theorems for the stationary Hall-MHD equations in local Morrey spaces. https://doi.org/10.1002/mma.8423

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