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arXiv · 1803.01507

On the Existence of Leapfrogging Pair of Circular Vortex Filaments

Masashi Aiki
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Abstract

We propose and analyze a system of nonlinear partial differential equations describing the motion of a pair of vortex filaments. Furthermore, for a pair of coaxial circular vortex filaments, we derive a condition for leapfrogging to occur and prove that the condition is necessary and sufficient for the occurrence of leapfrogging.

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Masashi Aiki. 2018-03-05. On the Existence of Leapfrogging Pair of Circular Vortex Filaments. https://arxiv.org/abs/1803.01507

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