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Analytic sharp fronts for the surface quasi-geostrophic equation
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Fefferman, Charles and Rodrigo, Jose L. (2011) Analytic sharp fronts for the surface quasi-geostrophic equation. Communications in Mathematical Physics, Volume 303 (Number 1). pp. 261-288. doi:10.1007/s00220-011-1190-4 ISSN 0010-3616.
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Official URL: http://dx.doi.org/10.1007/s00220-011-1190-4
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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Navier-Stokes equations, Geostrophic currents -- Mathematical models | ||||
Journal or Publication Title: | Communications in Mathematical Physics | ||||
Publisher: | Springer | ||||
ISSN: | 0010-3616 | ||||
Official Date: | April 2011 | ||||
Dates: |
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Volume: | Volume 303 | ||||
Number: | Number 1 | ||||
Page Range: | pp. 261-288 | ||||
DOI: | 10.1007/s00220-011-1190-4 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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