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A Blow-Up Result for Dyadic Models of the Euler Equations

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Abstract

We partially answer a question raised by Kiselev and Zlatos (Int Math Res Not 2005(38):2315–2339, 2005); in the generalized dyadic model of the Euler equation, a blow-up of \({H^{1/3+\delta}}\)-norm occurs. We recover a few previous blow-up results for various related dyadic models as corollaries.

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Authors and Affiliations

  1. Princeton University, Princeton, NJ, USA

    In-Jee Jeong

  2. University of British Columbia, Vancouver, BC, V6T 1Z4, Canada

    Dong Li

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  1. In-Jee Jeong
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  2. Dong Li
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Correspondence to In-Jee Jeong.

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Communicated by W. Schlag

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Jeong, IJ., Li, D. A Blow-Up Result for Dyadic Models of the Euler Equations. Commun. Math. Phys. 337, 1027–1034 (2015). https://doi.org/10.1007/s00220-015-2295-y

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  • DOI: https://doi.org/10.1007/s00220-015-2295-y

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