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Zbl 1180.35406
Fan, Jishan; Gao, Hongjun; Guo, Boling
Regularity criteria for the Navier-Stokes-Landau-Lifshitz system. (English)
[J] J. Math. Anal. Appl. 363, No. 1, 29-37 (2010). ISSN 0022-247X

Summary: 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.

MSC 2000:: *35Q30 Stokes and Navier-Stokes equations
76D05 Navier-Stokes equations (fluid dynamics)
76D03 Existence, uniqueness, and regularity theory
35B35 Stability of solutions of PDE

Keywords: regularity criterion; Navier-Stokes-Landau-Lifshitz system; Besov space; multiplier space

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Zentralblatt MATH Berlin [Germany]