Uniqueness for SQG patch solutions
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- by Antonio Córdoba, Diego Córdoba and Francisco Gancedo;
- Trans. Amer. Math. Soc. Ser. B 5 (2018), 1-31
- DOI: https://doi.org/10.1090/btran/20
- Published electronically: January 19, 2018
- HTML | PDF
Abstract:
This paper is about the evolution of a temperature front governed by the surface quasi-geostrophic equation. The existence part of that program within the scale of Sobolev spaces was obtained by the third author (2008). Here we revisit that proof introducing some new tools and points of view which allow us to conclude the also needed uniqueness result.References
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Bibliographic Information
- Antonio Córdoba
- Affiliation: Instituto de Ciencias Matemáticas (ICMAT) & Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Crta. Colmenar Viejo km. 15, 28049 Madrid, Spain
- Email: antonio.cordoba@uam.es
- Diego Córdoba
- Affiliation: Instituto de Ciencias Matemáticas (ICMAT), Consejo Superior de Investigaciones Científicas, C/ Nicolás Cabrera, 13-15, Campus Cantoblanco UAM, 28049 Madrid, Spain
- MR Author ID: 627661
- Email: dcg@icmat.es
- Francisco Gancedo
- Affiliation: Departamento de Análisis Matemático & IMUS, Universidad de Sevilla, C/ Tarfia, s/n, Campus Reina Mercedes, 41012, Sevilla, Spain
- MR Author ID: 814916
- Email: fgancedo@us.es
- Received by editor(s): May 21, 2016
- Received by editor(s) in revised form: February 7, 2017, May 30, 2017, July 14, 2017, and August 2, 2017
- Published electronically: January 19, 2018
- © Copyright 2018 by the authors under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)
- Journal: Trans. Amer. Math. Soc. Ser. B 5 (2018), 1-31
- MSC (2010): Primary 35Q35
- DOI: https://doi.org/10.1090/btran/20
- MathSciNet review: 3748149