REMARKS ON LIOUVILLE TYPE THEOREMS FOR THE 3D STATIONARY MHD EQUATIONS

被引：7

作者：

Li, Zhouyu ^{[1
]}

Liu, Pan ^{[2
]}

Niu, Pengcheng ^{[1
]}

机构：

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

[2] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 57卷 / 05期

关键词：

Liouville type theorem; MHD equations; Lorentz space; SYMMETRIC NAVIER-STOKES;

D O I：

10.4134/BKMS.b190828

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to establish Liouville type results for the stationary MHD equations. In particular, we show that the velocity and magnetic field, belonging to some Lorentz spaces, must be zero. Moreover, we also obtain Liouville type theorem for the case of axially symmetric MHD equations. Our results generalize previous works by Schulz [14] and Seregin-Wang [18].

引用

页码：1151 / 1164

页数：14

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