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Author:

Wang Shu (Wang Shu.) | Wu Jihui (Wu Jihui.)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we study the property of solutions to axially symmetric incompressible MHD equations in three dimensions. Firstly, we present the three-dimensional axially symmetric incompressible MHD equations. We propose a new one-dimensional model that approximates the MHD equations along the symmetric axis. To our surprise, this one-dimensional model can construct a family of exact solutions to the three-dimensional MHD equations. Secondly, we give a family of particular solutions to the three-dimensional and the prior estimates of one-dimensional MHD equations. Finally, we construct a family of global smooth solutions to the three-dimensional MHD equations by applying the one-dimensional solutions. (C) 2015 Elsevier Inc. All rights reserved.

Keyword:

MHD Three dimensional Incompressible Axially asymmetric

Author Community:

  • [ 1 ] [Wang Shu]Beijing Univ Technol, Coll Appl Math & Phys, Beijing 100124, Peoples R China
  • [ 2 ] [Wu Jihui]Beijing Univ Technol, Coll Appl Math & Phys, Beijing 100124, Peoples R China
  • [ 3 ] [Wu Jihui]Huainan Normal Univ, Coll Math, Huainan 202038, Peoples R China

Reprint Author's Address:

  • [Wu Jihui]Beijing Univ Technol, Coll Appl Math & Phys, Beijing 100124, Peoples R China

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Source :

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

ISSN: 0022-247X

Year: 2015

Issue: 1

Volume: 426

Page: 440-465

1 . 3 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:82

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 3

SCOPUS Cited Count: 5

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

Affiliated Colleges:

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