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arXiv · 1909.13555

On Singular Vortex Patches, II: Long-time dynamics

Tarek M. Elgindi·In-Jee Jeong
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Abstract

In a companion paper, we gave a detailed account of the well-posedness theory for singular vortex patches. Here, we discuss the long-time dynamics of some of the classes of vortex patches we showed to be globally well-posed in the companion work. In particular, we give examples of time-periodic behavior, cusp formation in infinite time at an exponential rate, and spiral formation in infinite time.

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Tarek M. Elgindi, In-Jee Jeong. 2019-09-30. On Singular Vortex Patches, II: Long-time dynamics. https://arxiv.org/abs/1909.13555

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