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THE GLOBAL L2 STABILITY OF SOLUTIONS TO THREE DIMENSIONAL MHD EQUATIONS

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文摘 In this paper, we mainly study the global L2 stability for large solutions to the MHD equations in three-dimensional bounded or unbounded, domains. Under suitable conditions of the large solutions, it is shown that the large solutions are stable. And we obtain the equivalent condition of this stability condition. Moreover, the global existence and the stability of two-dimensional MHD equations under three-dimensional perturbations are also established.
来源 Acta Mathematica Scientia ,2013,33(1):247-267 【核心库】
DOI 10.1016/s0252-9602(12)60208-2
关键词 MHD equations ; strong solutions ; stability
地址

1. Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190  

2. Department of Mathematics, Beijing Technology and Business University, Beijing, 100048

语种 英文
文献类型 研究性论文
ISSN 0252-9602
学科 数学
基金 This work is supported by 973 Program ;  国家自然科学基金
文献收藏号 CSCD:4770499

参考文献 共 25 共2页

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引证文献 1

1 Zhang Zhipeng THE COMBINED INVISCID AND NON-RESISTIVE LIMIT FOR THE NONHOMOGENEOUS INCOMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH NAVIER BOUNDARY CONDITIONS Acta Mathematica Scientia,2018,38(6):1655-1677
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