Global Smooth Axisymmetic Solutions of the Boussinesq Equations for Magnetohydrodynamics Convection

Dongfen Bian; Xueke Pu

doi:10.1007/s00021-019-0468-8

Global Smooth Axisymmetic Solutions of the Boussinesq Equations for Magnetohydrodynamics Convection

Dongfen Bian
, Xueke Pu^*

^*Corresponding author for this work

School of Mathematics and Statistics

Brown University
Guangzhou University

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

In this paper, we consider global axisymmetric smooth solutions for the Boussinesq equation for magnetohydrodynamics convection without magnetic diffusion and heat convection. We obtain that for axially symmetric initial data without any smallness restrictions, such a system admits global smooth axially symmetric solutions without swirl.

Original language	English
Article number	12
Journal	Journal of Mathematical Fluid Mechanics
Volume	22
Issue number	1
DOIs	https://doi.org/10.1007/s00021-019-0468-8
Publication status	Published - 1 Mar 2020

Keywords

Axisymmetric solutions
Boussinesq equation for magnetohydrodynamics convection
Global regularity

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10.1007/s00021-019-0468-8

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title = "Global Smooth Axisymmetic Solutions of the Boussinesq Equations for Magnetohydrodynamics Convection",

abstract = "In this paper, we consider global axisymmetric smooth solutions for the Boussinesq equation for magnetohydrodynamics convection without magnetic diffusion and heat convection. We obtain that for axially symmetric initial data without any smallness restrictions, such a system admits global smooth axially symmetric solutions without swirl.",

keywords = "Axisymmetric solutions, Boussinesq equation for magnetohydrodynamics convection, Global regularity",

author = "Dongfen Bian and Xueke Pu",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",

year = "2020",

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AU - Bian, Dongfen

AU - Pu, Xueke

PY - 2020/3/1

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N2 - In this paper, we consider global axisymmetric smooth solutions for the Boussinesq equation for magnetohydrodynamics convection without magnetic diffusion and heat convection. We obtain that for axially symmetric initial data without any smallness restrictions, such a system admits global smooth axially symmetric solutions without swirl.

AB - In this paper, we consider global axisymmetric smooth solutions for the Boussinesq equation for magnetohydrodynamics convection without magnetic diffusion and heat convection. We obtain that for axially symmetric initial data without any smallness restrictions, such a system admits global smooth axially symmetric solutions without swirl.

KW - Axisymmetric solutions

KW - Boussinesq equation for magnetohydrodynamics convection

KW - Global regularity

UR - https://www.scopus.com/pages/publications/85077082539

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DO - 10.1007/s00021-019-0468-8

M3 - Article

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SN - 1422-6928

VL - 22

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JF - Journal of Mathematical Fluid Mechanics

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Global Smooth Axisymmetic Solutions of the Boussinesq Equations for Magnetohydrodynamics Convection

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Keywords

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