Long time confinement of multiple concentrated vortices

David Meyer

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arXiv · 2506.01477

Long time confinement of multiple concentrated vortices

David Meyer

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Abstract

We study the stability of multiple almost circular concentrated vortices in a fluid evolving according to the two-dimensional Euler equations. We show that, for general configurations, they must remain concentrated on time-scales much longer than previously known as long as they remain separated. We further prove a new stability estimate for the logarithmic interaction energy as part of the proof.

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David Meyer. 2025-06-02. Long time confinement of multiple concentrated vortices. https://arxiv.org/abs/2506.01477

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