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.
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