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On Smoothness of Suitable Weak Solutions to the Navier-Stokes Equations

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We prove two sufficient conditions for local regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. One of these conditions implies the smoothness of L3,∞-solutions as a particular case. Bibliography: 12 titles.

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Dedicated to Vsevolod Alekseevich Solonnikov

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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 306, 2003, pp. 186–198.

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Seregin, G., Sverak, V. On Smoothness of Suitable Weak Solutions to the Navier-Stokes Equations. J Math Sci 130, 4884–4892 (2005). https://doi.org/10.1007/s10958-005-0383-9

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  • DOI: https://doi.org/10.1007/s10958-005-0383-9

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