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Blow Up for the Generalized Surface Quasi-Geostrophic Equation with Supercritical Dissipation

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Abstract

We prove the existence of singularities for the generalized surface quasi-geostrophic (GSQG) equation with supercritical dissipation. Analogous results are obtained for the family of equations interpolating between GSQG and 2D Euler.

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Authors and Affiliations

  1. Institute For Advanced Studies, Princeton, NJ, 08540, USA

    Dong Li

  2. Warwick University, Coventry, CV4 7AL, United Kingdom

    Jose Rodrigo

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  1. Dong Li
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  2. Jose Rodrigo
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Correspondence to Jose Rodrigo.

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Communicated by P. Constantin

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Li, D., Rodrigo, J. Blow Up for the Generalized Surface Quasi-Geostrophic Equation with Supercritical Dissipation. Commun. Math. Phys. 286, 111–124 (2009). https://doi.org/10.1007/s00220-008-0585-3

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  • DOI: https://doi.org/10.1007/s00220-008-0585-3

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