论文标题
liouville型定理用于当地莫雷空间中的固定霍尔-MHD方程
Liouville type theorems for the stationary Hall-MHD equations in local Morrey spaces
论文作者
论文摘要
本文与3D固定不可压缩的Hall-MHD方程的Liouville类型定理有关。我们确定在当地莫雷空间的某些足够条件下，固定霍尔-MHD方程的解决方案相同。特别是，我们还证明了$ \ mathbb {r}^3 $的固定不可压缩MHD方程的liouville类型结果。我们的定理扩展并概括了固定不可压缩的Navier-Stokes方程的经典结果。
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.
