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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.
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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
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