Large time behavior for the incompressible magnetohydrodynamic equations in half‐spaces |
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| Authors: | Zhaoxia Liu Xingjiang Yu |
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| Affiliation: | 1. Department of information and Computational Science, School of Sciences, Minzu University of China, Beijing, China;2. College of Mathematics Science, Liaocheng University, Shandong Liaocheng, China |
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| Abstract: | The weighted Lr‐asymptotic behavior of the strong solution and its first‐order spacial derivatives to the incompressible magnetohydrodynamic (MHD) equations is established in a half‐space. Further, the L∞‐decay rates of the second‐order spatial derivatives of the strong solution are derived by using the Stokes solution formula and employing a decomposition for the nonlinear terms in MHD equations. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | MHD equations strong solution asymptotic behavior half‐space subclass35Q 76D |
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