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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 370, Pages 73–93
(Mi znsl3532)
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This article is cited in 6 scientific papers (total in 6 papers)
Local regularity for suitable weak solutions of the Navier–Stokes equations near the boundary
A. Mikhaylov St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
Abstract:
A class of sufficient conditions for local boundary regularity of suitable weak solutions of the non-stationary three-dimensional Navier–Stokes equations is discussed. The corresponding results are formulated in terms of functionals invariant with respect to the scaling of the Navier–Stokes equations. Bibl. – 26 titles.
Key words and phrases:
Navier–Stokes equation, suitable weak solutions, natural scaling, local boundary regularity.
Received: 28.10.2009
Citation:
A. Mikhaylov, “Local regularity for suitable weak solutions of the Navier–Stokes equations near the boundary”, Boundary-value problems of mathematical physics and related problems of function theory. Part 40, Zap. Nauchn. Sem. POMI, 370, POMI, St. Petersburg, 2009, 73–93; J. Math. Sci. (N. Y.), 166:1 (2010), 40–52
Linking options:
https://www.mathnet.ru/eng/znsl3532 https://www.mathnet.ru/eng/znsl/v370/p73
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Abstract page: | 245 | Full-text PDF : | 79 | References: | 42 |
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