Axially symmetric incompressible MHD in three dimensions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:426

Article

Wang Shu¹  Wu Jihui^1,2 

[1] Beijing Univ Technol, Coll Appl Math & Phys, Beijing 100124, Peoples R China

[2] Huainan Normal Univ, Coll Math, Huainan 202038, Peoples R China

关键词: Incompressible;    MHD;    Axially asymmetric;    Three dimensional;   

DOI  :  10.1016/j.jmaa.2015.01.020

来源: Elsevier

【 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.

【 授权许可】

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