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

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

21 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

Access to Document

10.1007/s00021-019-0468-8

Cite this

@article{696477c7641b4793ada67a70f808650f,

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",

month = mar,

day = "1",

doi = "10.1007/s00021-019-0468-8",

language = "English",

volume = "22",

journal = "Journal of Mathematical Fluid Mechanics",

issn = "1422-6928",

publisher = "Birkhauser Verlag Basel",

number = "1",

}

TY - JOUR

T1 - Global Smooth Axisymmetic Solutions of the Boussinesq Equations for Magnetohydrodynamics Convection

AU - Bian, Dongfen

AU - Pu, Xueke

PY - 2020/3/1

Y1 - 2020/3/1

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 - http://www.scopus.com/inward/record.url?scp=85077082539&partnerID=8YFLogxK

U2 - 10.1007/s00021-019-0468-8

DO - 10.1007/s00021-019-0468-8

M3 - Article

AN - SCOPUS:85077082539

SN - 1422-6928

VL - 22

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

IS - 1

M1 - 12

ER -

Global Smooth Axisymmetic Solutions of the Boussinesq Equations for Magnetohydrodynamics Convection

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this