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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 310, Pages 158–190
(Mi znsl811)
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This article is cited in 26 scientific papers (total in 26 papers)
Boundary partial regularity for the Navier–Stokes equations
G. A. Seregin, T. N. Shilkin, V. A. Solonnikov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
We prove two conditions of local Hölder continuity for suitable weak solutions to the Navier–Stokes equations near the smooth curved part of the boundary of a domain. One of these condition has the form of the Caffarelli–Kohn–Nirenberg condition for the local boundedness of suitable weak solutions at the interior points of the space-time cylinder. The corresponding results near the plane part of the boundary were established earlier by G. Seregin.
Received: 15.10.2004
Citation:
G. A. Seregin, T. N. Shilkin, V. A. Solonnikov, “Boundary partial regularity for the Navier–Stokes equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 35, Zap. Nauchn. Sem. POMI, 310, POMI, St. Petersburg, 2004, 158–190; J. Math. Sci. (N. Y.), 132:3 (2006), 339–358
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Abstract page: | 513 | Full-text PDF : | 177 | References: | 60 |
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