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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2010 Volume 385, Pages 83–97 (Mi znsl3901)

This article is cited in 5 papers

On local regularity for suitable weak solutions of the Navier–Stokes equations near the boundary

A. S. Mikhaylov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, 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 which are invariant with respect to the scaling of the Navier–Stokes equations. Bibl. 27 titles.

Key words and phrases: Navier–Stokes equation, suitable weak solution, natural scaling, local boundary regularity.

UDC: 517

Received: 02.12.2010

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2011, 178:3, 282–291

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