Existence of vortex sheet solutions to the SQG Equation
Analysis of PDEs
2023-11-13 v2
Abstract
This paper addresses the existence of vortex sheets for the SQG equation. More precisely, we construct a family of stationary vortex sheet solutions that are concentrated on curves that are small perturbations of circles centered on a given non-degenerate critical point. To the best of our knowledge, this is a novel result on the existence of vortex sheets to the SQG equation.
Cite
@article{arxiv.2209.04964,
title = {Existence of vortex sheet solutions to the SQG Equation},
author = {Edison Cuba and Lucas C. F. Ferreira},
journal= {arXiv preprint arXiv:2209.04964},
year = {2023}
}
Comments
We have found some technical issues in the preprint. Then, we have preferred to withdraw it