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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2008 Volume 362, Pages 325–336 (Mi znsl2201)

This article is cited in 4 papers

On a reverse Hölder inequality for a class of suitable weak solutions to the Navier–Stokes equations

G. A. Seregin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: In the paper, we consider a special class of suitable weak solutions to the three-dimensional nonstationary Navier–Stokes equations and prove a reverse Hölder inequality for them. The interesting feature of this class is that it contains solutions having majorants invariant to the Navier–Stokes scaling. Bibl. – 3 titles.

UDC: 517

Received: 12.11.2008

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2009, 159:4, 573–579

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