St. Petersburg Mathematical Journal

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ISSN 1547-7371(e) ISSN 1061-0022(p)

New version of the Ladyzhenskaya-Prodi-Serrin condition

Author(s): G. A. Seregin
Translated by: A. Plotkin
Original publication: Algebra i Analiz, tom 18 (2006), nomer 1.
Journal: St. Petersburg Math. J. 18 (2007), 89-103.
MSC (2000): Primary 35Q30
Posted: November 27, 2006
MathSciNet review: 2225215
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

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.

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