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arXiv · 2004.02306

Existence of corotating asymmetric vortex pairs for Euler equations

Zineb Hassainia·Taoufik Hmidi
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Abstract

In this paper, we study the existence of co-rotating and counter-rotating unequal-sized pairs of simply connected patches for Euler equations. In particular, we prove the existence of curves of steadily co-rotating and counter-rotating asymmetric vortex pairs passing through a point vortex pairs with unequal circulations.

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Zineb Hassainia, Taoufik Hmidi. 2020-04-05. Existence of corotating asymmetric vortex pairs for Euler equations. https://arxiv.org/abs/2004.02306

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