Almost sharp fronts for the surface quasi-geostrophic equation

Diego Córdoba; Charles Fefferman; José Luis Rodrigo

doi:10.1073/pnas.0308154101

Almost sharp fronts for the surface quasi-geostrophic equation

Diego Córdoba, Charles Fefferman, José Luis Rodrigo

Mathematics

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26 Scopus citations

Abstract

We investigate the evolution of "almost sharp" fronts for the surface quasi-geostrophic equation. This equation was originally introduced in the geophysical context to investigate the formation and evolution of fronts, i.e., discontinuities between masses of hot and cold air. These almost sharp fronts are weak solutions of quasi-geostrophic with large gradient. We relate their evolution to the evolution of sharp fronts.

Original language	English (US)
Pages (from-to)	2687-2691
Number of pages	5
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	101
Issue number	9
DOIs	https://doi.org/10.1073/pnas.0308154101
State	Published - Mar 2 2004

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AU - Fefferman, Charles

AU - Rodrigo, José Luis

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N2 - We investigate the evolution of "almost sharp" fronts for the surface quasi-geostrophic equation. This equation was originally introduced in the geophysical context to investigate the formation and evolution of fronts, i.e., discontinuities between masses of hot and cold air. These almost sharp fronts are weak solutions of quasi-geostrophic with large gradient. We relate their evolution to the evolution of sharp fronts.

AB - We investigate the evolution of "almost sharp" fronts for the surface quasi-geostrophic equation. This equation was originally introduced in the geophysical context to investigate the formation and evolution of fronts, i.e., discontinuities between masses of hot and cold air. These almost sharp fronts are weak solutions of quasi-geostrophic with large gradient. We relate their evolution to the evolution of sharp fronts.

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Almost sharp fronts for the surface quasi-geostrophic equation

Abstract

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