St. Petersburg Mathematical Society

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
Retrieve article in: PDF DVI PostScript

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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G. A. Seregin
Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
Email: seregin@pdmi.ras.ru

DOI: 10.1090/S1061-0022-06-00944-7
PII: S 1061-0022(06)00944-7
Keywords: 3-dimensional Navier--Stokes system, local and global regularity
Received by editor(s): 29/SEP/2005
Posted: November 27, 2006
Additional Notes: Supported by the Alexander von Humboldt Foundation, RFBR (grant no. 05-01-00941), and CRDF (grant no. RU-M1-2596-ST-04).
Copyright of article: Copyright 2006, American Mathematical Society

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

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