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arXiv · 2008.09345

Existence of vortex rings in Beltrami flows

Ken Abe
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Abstract

We construct traveling wave solutions to the 3d Euler equations by axisymmetric Beltrami fields with a non-constant proportionality factor. They form a vortex ring with nested invariant tori consisting of level sets of the proportionality factor.

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Ken Abe. 2020-08-21. Existence of vortex rings in Beltrami flows. https://arxiv.org/abs/2008.09345

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