The global regularity of vortex patches revisited
Analysis of PDEs
2024-10-22 v6 Classical Analysis and ODEs
Abstract
We prove persistence of the regularity of the boundary of vortex patches for a large class of transport equations in the plane. The velocity field is given by convolution of the vorticity with an odd kernel, homogeneous of degree and of class off the origin.
Cite
@article{arxiv.2110.00561,
title = {The global regularity of vortex patches revisited},
author = {Joan Verdera},
journal= {arXiv preprint arXiv:2110.00561},
year = {2024}
}
Comments
Some inaccuracies corrected, in particular one in the statement of Lemma 3