Global Helically Symmetric Solutions to 3D MHD Equations

We prove the existence and uniqueness of global strong solutions to the Cauchy problem of the three-dimensional magnetohydrodynamic equations in R3 when initial data are helically symmetric. Moreover, the large-time behavior of the strong solutions is obtained simultaneously.

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Bibliographic Details
Published in:Acta Mathematicae Applicatae Sinica 2014-01, Vol.30 (2), p.347-358
Main Authors: Gao, Wen, Guo, Zhen-hua, Niu, Dong-juan
Format: Article
Language:English
Subjects:
Applications of Mathematics
Cauchy问题
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
MHD方程
Theoretical
存在唯一性
对称解
整体强解
磁流体动力学方程
螺旋形
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Description
Summary:We prove the existence and uniqueness of global strong solutions to the Cauchy problem of the three-dimensional magnetohydrodynamic equations in R3 when initial data are helically symmetric. Moreover, the large-time behavior of the strong solutions is obtained simultaneously.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-014-0297-8