THE GLOBAL L~2 STABILITY OF SOLUTIONS TO THREE DIMENSIONAL MHD EQUATIONS |
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| Authors: | Xianjin LI Xiaojing CAI |
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| Institution: | 1. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
2. Department of Mathematics, Beijing Technology and Business University, Beijing 100048, China;College of Applied Sciences, Beijing University of Technology, Beijing 100124, China |
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| Abstract: | 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. |
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| Keywords: | MHD equations strong solutions stability |
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