Global Well-Posedness and Asymptotic Behavior of the 3D MHD-Boussinesq Equations

被引：0

作者：

Guo, Zhengguang ^{[1
]}

Zhang, Zunzun ^{[2
]}

Skalak, Zdenek ^{[3
]}

机构：

[1] Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China

[2] Wenzhou Univ, Dept Math, Wenzhou 325035, Zhejiang, Peoples R China

[3] Czech Tech Univ, Thakurova 7, Prague 16629 6, Czech Republic

来源：

JOURNAL OF NONLINEAR SCIENCE | 2023年 / 33卷 / 04期

关键词：

MHD-Boussinesq equations; Global axisymmetric solutions; Asymptotic behavior; ROTATING MAGNETOCONVECTION; SYSTEM; REGULARITY; DECAY;

D O I：

10.1007/s00332-023-09920-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study global well-posedness of the three-dimensional MHD-Boussinesq equations. The global existence of axisymmetric strong solutions to the MHD-Boussinesq equations in the presence of magnetic diffusion is shown by providing some smallness conditions only on the swirl component of velocity. As a by-product, long-time asymptotic behaviors are also presented.

引用

页数：31

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