Remarks on geometric properties of SQG sharp fronts and $\alpha$-patches
Analysis of PDEs
2014-08-10 v2
Abstract
Guided by numerical simulations, we present the proof of two results concerning the behaviour of SQG sharp fronts and -patches. We establish that ellipses are not rotational solutions and we prove that initially convex interfaces may lose this property in finite time.
Keywords
Cite
@article{arxiv.1401.5376,
title = {Remarks on geometric properties of SQG sharp fronts and $\alpha$-patches},
author = {Angel Castro and Diego Córdoba and Javier Gómez-Serrano and Alberto Martín Zamora},
journal= {arXiv preprint arXiv:1401.5376},
year = {2014}
}
Comments
17 pages, 4 figures