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作者:

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

收录:

Scopus SCIE

摘要:

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.

关键词:

Axially asymmetric Incompressible MHD Three dimensional

作者机构:

  • [ 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

通讯作者信息:

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

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来源 :

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

ISSN: 0022-247X

年份: 2015

期: 1

卷: 426

页码: 440-465

1 . 3 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:54

JCR分区:1

中科院分区:2

被引次数:

WoS核心集被引频次: 2

SCOPUS被引频次: 4

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

近30日浏览量: 2

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