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Algebra i Analiz, 2006 Volume 18, Issue 1, Pages 124–143 (Mi aa62)
This article is cited in 10 papers

Research Papers

New version of the Ladyzhenskaya–Prodi–Serrin condition

G. A. Seregin

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

Abstract: A new local version of the Ladyzhenskaya–Prodi–Serrin regularity condition for weak solutions of the nonstationary 3-dimensional Navier-Stokes system is proved. The novelty is in that the energy of the solution is not assumed to be finite.

MSC: 35Q30

Received: 29.09.2005


 English version: St. Petersburg Mathematical Journal, 2007, 18:1, 89–103

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