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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2009 Volume 370, Pages 73–93 (Mi znsl3532)

This article is cited 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.

UDC: 517.9

Received: 28.10.2009

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2010, 166:1, 40–52

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