Stability of two‐dimensional magnetohydrodynamic motions in the periodic case |
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| Authors: | Bernard Nowakowski Wojciech M Zajączkowski |
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| Institution: | 1. Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland;2. Institute of Mathematics and Cryptology, Military University of Technology, Warsaw, Poland |
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| Abstract: | We investigate the stability of two‐dimensional periodic solutions to magnetohydrodynamics equations in the class of three‐dimensional periodic solutions. We show the existence of global, strong three‐dimensional solutions to magnetohydrodynamics equations, which are close to two‐dimensional solutions. The advantage of our approach is that neither these solutions nor the external forces have to vanish at infinity. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | stability of MHD flows strong solutions non‐vanishing solutions periodic domains subclass35Q35 76D03 76W05 |
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