Liouville type Theorems for the 3D stationary Hall-MHD equations

被引：15

作者：

Li, Zhouyu ^{[1
]}

Niu, Pengcheng ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Peoples R China

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2020年 / 100卷 / 05期

关键词：

Hall-MHD system; liouville type theorem; lorentz space; navier-Stokes system; GLOBAL EXISTENCE; MAGNETIC RECONNECTION; WELL-POSEDNESS; BLOW-UP; REGULARITY;

D O I：

10.1002/zamm.201900200

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to establish the Liouville type theorems for the stationary Hall-MHD equations on R3. 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].

引用

页数：9

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