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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2006 Volume 336, Pages 199–210 (Mi znsl202)

This article is cited in 27 papers

Estimates of suitable weak solutions to the Navier–Stokes equations in critical Morrey spaces

G. A. Seregin

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

Abstract: We prove some estimates for suitable weak solutions to the nonstationary three-dimensional Navier–Stokes equations under assumptions that certain invariant functionals of the velocity field are bounded.

UDC: 517

Received: 25.01.2006

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2007, 143:2, 2961–2968

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