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Liouville type Theorems for the 3D stationary Hall‐MHD equations
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-03-19 , DOI: 10.1002/zamm.201900200
Zhouyu Li 1 , Pengcheng Niu 1
Affiliation  

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) [15].

中文翻译:

3D平稳Hall‐MHD方程的Liouville型定理

本文的目的是建立平稳的Hall-MHD方程的Liouville型定理。 [R 3 。我们证明属于洛伦兹空间的速度和磁场必须为零。特别是,我们还显示了3D固定Navier-Stokes方程的Liouville型结果。我们的结果扩展并推广了Kozono等人,(2017)[15]中包含的先前结果。
更新日期:2020-03-19
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