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On smoothness of L3,∞-solutions to the Navier–Stokes equations up to boundary

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Abstract.

We show that L3,∞-solutions to the three-dimensional Navier-Stokes equations near a flat part of the boundary are smooth.

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  1. Steklov Institute of Mathematics at St.Petersburg, St.Petersburg, Russia

    G. Seregin

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  1. G. Seregin
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Mathematics Subject Classification (1991): 35K, 76D

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Seregin, G. On smoothness of L3,∞-solutions to the Navier–Stokes equations up to boundary. Math. Ann. 332, 219–238 (2005). https://doi.org/10.1007/s00208-004-0625-z

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  • DOI: https://doi.org/10.1007/s00208-004-0625-z

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