Regularity criteria for the Navier-Stokes-Landau-Lifshitz system |
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| Authors: | Jishan Fan Boling Guo |
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| Affiliation: | a School of Mathematical Science, Nanjing Normal University, Nanjing 210097, PR China
b Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, PR China |
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| Abstract: | In this paper, we study regularity criteria for the Navier-Stokes-Landau-Lifshitz system. Using delicate estimates, the regularity criteria for smooth solution of Navier-Stokes-Landau-Lifshitz system in Besov spaces and the multiplier spaces are obtained. The Navier-Stokes-Landau-Lifshitz system is coupled system of the Navier-Stokes equation and Landau-Lifshitz system, our results generalize the related results for Navier-Stokes equation and Landau-Lifshitz system to our system. |
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| Keywords: | Regularity criterion Navier-Stokes-Landau-Lifshitz system Besov space Multiplier space |
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