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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. First, 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. This one-dimensional model can construct a family of exact solutions to the three-dimensional MHD equations. Second, we give a family of particular solutions to the three-dimensional and a 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.

Keyword:

Axially asymmetric Incompressible MHD Three dimensional

Author Community:

  • [ 1 ] [Wang, Shu]Beijing Univ Technol, POB 8009, Beijing 100124, Peoples R China
  • [ 2 ] [Wu, Jihui]Beijing Univ Technol, POB 8009, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Wu, Jihui]Beijing Univ Technol, POB 8009, Beijing 100124, Peoples R China

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Source :

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY

ISSN: 0126-6705

Year: 2017

Issue: 1

Volume: 40

Page: 173-204

1 . 2 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:66

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

Affiliated Colleges:

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