Existence of gravity-capillary Crapper waves with concentrated vorticity

Diego Córdoba; Elena Di Iorio

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arXiv · 2106.15923

Existence of gravity-capillary Crapper waves with concentrated vorticity

Diego Córdoba·Elena Di Iorio

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Abstract

The aim of this paper is to prove the existence of gravity-capillary Crapper waves with the presence of vorticity. In particular, we consider a concentrated vorticity: point vortex and vortex patch. We show that for small gravity and small vorticity it is possible to demonstrate that the waves are overhanging.

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Diego Córdoba, Elena Di Iorio. 2021-06-30. Existence of gravity-capillary Crapper waves with concentrated vorticity. https://arxiv.org/abs/2106.15923

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