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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)

 

 

New version of the Ladyzhenskaya-Prodi-Serrin condition


Author: 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
DOI: https://doi.org/10.1090/S1061-0022-06-00944-7
Published electronically: November 27, 2006
MathSciNet review: 2225215
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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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Additional Information

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: https://doi.org/10.1090/S1061-0022-06-00944-7
Keywords: 3-dimensional Navier--Stokes system, local and global regularity
Received by editor(s): September 29, 2005
Published electronically: 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).
Article copyright: © Copyright 2006 American Mathematical Society