Cusp Formation in Vortex Patches
Analysis of PDEs
2025-04-16 v2
Abstract
We prove instantaneous cusp formation for any initial vortex patch with acute corners. This was conjectured to occur in the numerical literature.
Cite
@article{arxiv.2504.02705,
title = {Cusp Formation in Vortex Patches},
author = {Tarek M. Elgindi and Min Jun Jo},
journal= {arXiv preprint arXiv:2504.02705},
year = {2025}
}
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