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Almost Sharp Fronts for SQG: The Limit Equations

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Abstract

We consider a construction of a family of almost-sharp fronts for the Surface Quasi-Geostrophic equation. The family is indexed by a parameter indicating the thickness of the almost-sharp front. In this paper we obtain the limit equation when the parameter approaches zero and construct approximate solutions of SQG in the analytic class.

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Authors and Affiliations

  1. Princeton University, Princeton, USA

    Charles Fefferman

  2. 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. Almost Sharp Fronts for SQG: The Limit Equations. Commun. Math. Phys. 313, 131–153 (2012). https://doi.org/10.1007/s00220-012-1486-z

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  • DOI: https://doi.org/10.1007/s00220-012-1486-z

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