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Analytic Sharp Fronts for the Surface Quasi-Geostrophic Equation

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Abstract

We study the evolution of sharp fronts for the Surface Quasi-Geostrophic equation in the context of analytic functions. We showed that, even though the equation contains operators of order higher than 1, by carefully studying the evolution of the second derivatives it can be adapted to fit an abstract version of the Cauchy-Kowaleski Theorem.

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Authors and Affiliations

  1. Mathematics Department, Princeton University, Princeton, NJ, 08544, USA

    Charles Fefferman

  2. Mathematics Department, Warwick University, Coventry, CV4 7AL, UK

    José L. Rodrigo

Authors
  1. Charles Fefferman
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  2. José L. Rodrigo
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Correspondence to José L. Rodrigo.

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Communicated by P. Constantin

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Fefferman, C., Rodrigo, J.L. Analytic Sharp Fronts for the Surface Quasi-Geostrophic Equation. Commun. Math. Phys. 303, 261–288 (2011). https://doi.org/10.1007/s00220-011-1190-4

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  • DOI: https://doi.org/10.1007/s00220-011-1190-4

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