Global Helically Symmetric Solutions to 3D MHD Equations

Wen GAO, Zhen-hua GUO, Dong-juan NIU

应用数学学报(英文版) ›› 2014, Vol. 30 ›› Issue (2) : 347-358.

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PDF(170 KB)
应用数学学报(英文版) ›› 2014, Vol. 30 ›› Issue (2) : 347-358. DOI: 10.1007/s10255-014-0297-8
ARTICLES

Global Helically Symmetric Solutions to 3D MHD Equations

    Wen GAO1, Zhen-hua GUO1, Dong-juan NIU2
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Global Helically Symmetric Solutions to 3D MHD Equations

    Wen GAO1, Zhen-hua GUO1, Dong-juan NIU2
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摘要

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.

Abstract

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.

关键词

magnetohydrodynamic equations / helically symmetric solutions / large-time behavior of solutions

Key words

magnetohydrodynamic equations / helically symmetric solutions / large-time behavior of solutions

引用本文

导出引用
Wen GAO, Zhen-hua GUO, Dong-juan NIU. Global Helically Symmetric Solutions to 3D MHD Equations. 应用数学学报(英文版), 2014, 30(2): 347-358 https://doi.org/10.1007/s10255-014-0297-8
Wen GAO, Zhen-hua GUO, Dong-juan NIU. Global Helically Symmetric Solutions to 3D MHD Equations. Acta Mathematicae Applicatae Sinica(English Series), 2014, 30(2): 347-358 https://doi.org/10.1007/s10255-014-0297-8

参考文献

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基金

Supported by the National Natural Science Foundation of China (No. 11071195). The research of Z.H. Guo is partially supported by the National Natural Science Foundation of China (No.11071195) and a research grant at the Northwest University.
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