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

被引：1

作者：

Wang, Peng ^{[1
]}

Zhou, Shidi ^{[2
]}

机构：

[1] Huizhou Univ, Sch Math & Stat, Huizhou, Peoples R China

[2] Jiangsu Univ Sci & Technol, Sch Sci, Zhenjiang, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2023年 / 22卷 / 04期

关键词：

Stationary MHD equations; Liouville type theorem; Axisymmetric solution; NAVIER-STOKES EQUATIONS; SYMMETRIC D-SOLUTIONS;

D O I：

10.3934/cpaa.2023018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the stationary incompressible MHD equations on R-3. We show that the velocity field u and the magnetic field b, which vanish at infinity, must be identically zero, provided that del u and del b belong to L-q(R-3) for some q is an element of(3/2 , 2], and u belongs to BMO-1(R-3). Moreover, motivated by the recent work [19], we also obtain the Liouville type theorem by assuming that (u, b) is axisymmetric and u satisfies some decay property.

引用

页码：996 / 1008

页数：13

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