### 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.

Original language | English (US) |
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Pages (from-to) | 261-288 |

Number of pages | 28 |

Journal | Communications In Mathematical Physics |

Volume | 303 |

Issue number | 1 |

DOIs | |

State | Published - Apr 1 2011 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Fefferman, C., & Rodrigo, J. L. (2011). Analytic Sharp Fronts for the Surface Quasi-Geostrophic Equation.

*Communications In Mathematical Physics*,*303*(1), 261-288. https://doi.org/10.1007/s00220-011-1190-4