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arXiv · 2504.02705

Cusp Formation in Vortex Patches

Abstract

We prove instantaneous cusp formation for any initial vortex patch with acute corners. This was conjectured to occur in the numerical literature.

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Tarek M. Elgindi, Min Jun Jo. 2025-04-14. Cusp Formation in Vortex Patches. https://arxiv.org/abs/2504.02705

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