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

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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 .

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  1. Laboratoire Analyse, Géométrie & Applications, UMR 7539, Institut Galilée, Université Paris 13, 99 avenue J.B. Clément, 93430 Villetaneuse, France, , , , , , FR

    Fabrice Planchon

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  1. Fabrice Planchon
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Received: 27 February 2002 / Accepted: 29 July 2002 Published online: 14 November 2002

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Planchon, F. An Extension of the Beale-Kato-Majda Criterion for the Euler Equations. Commun. Math. Phys. 232, 319–326 (2003). https://doi.org/10.1007/s00220-002-0744-x

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  • DOI: https://doi.org/10.1007/s00220-002-0744-x

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