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Communications in Mathematical Physics

, Volume 232, Issue 2, pp 319–326 | Cite as

An Extension of the Beale-Kato-Majda Criterion for the Euler Equations

  • Fabrice Planchon

Abstract:

 The Beale-Kato-Majda criterion asserts that smooth solutions to the Euler equations remain bounded past T as long as \(\) is finite, ohgr; being the vorticity. We show how to replace this by a weaker statement, on \(\), where Δj is a frequency localization around \(\).

Keywords

Euler Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Fabrice Planchon
    • 1
  1. 1.Laboratoire Analyse, Géométrie & Applications, UMR 7539, Institut Galilée, Université Paris 13, 99 avenue J.B. Clément, 93430 Villetaneuse, FranceFR

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