Uniqueness for SQG patch solutions
Analysis of PDEs
2017-05-31 v3
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 one of the authors [10]. Here we revisit that proof introducing some new tools and points of view which allow us to conclude the also needed uniqueness result.
Keywords
Cite
@article{arxiv.1605.06663,
title = {Uniqueness for SQG patch solutions},
author = {Antonio Córdoba and Diego Córdoba and Francisco Gancedo},
journal= {arXiv preprint arXiv:1605.06663},
year = {2017}
}
Comments
29 pages, main result added in the introduction in terms of weak solutions, proofs and comments expanded, one section with uniqueness for contour equation (7)