Analytic Sharp Fronts for the Surface Quasi-Geostrophic Equation

Charles Fefferman; José L. Rodrigo

doi:10.1007/s00220-011-1190-4

Analytic Sharp Fronts for the Surface Quasi-Geostrophic Equation

Charles Fefferman, José L. Rodrigo

Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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)
Pages (from-to)	261-288
Number of pages	28
Journal	Communications In Mathematical Physics
Volume	303
Issue number	1
DOIs	https://doi.org/10.1007/s00220-011-1190-4
State	Published - Apr 2011

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-011-1190-4

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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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Analytic Sharp Fronts for the Surface Quasi-Geostrophic Equation

Abstract

All Science Journal Classification (ASJC) codes

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