Uniqueness for SQG patch solutions

Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco

doi:10.1090/btran/20

Uniqueness for SQG patch solutions
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by Antonio Córdoba, Diego Córdoba and Francisco Gancedo HTML | PDF

Trans. Amer. Math. Soc. Ser. B 5 (2018), 1-31

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.

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