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This research explores the finite-time blowup behavior of hollow vortices in fluid dynamics.

July 26, 2026Mathematische AnnalenOpen Access

Finite-time self-similar implosion of hollow vortices

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Randomized trial reveals self-similar implosion behavior in hollow vortices, indicating complex vortex dynamics.

This research explores the finite-time blowup behavior of hollow vortices in fluid dynamics.
Analysis of two-dimensional Euler equations for hollow vortices.
Examination of configurations involving multiple hollow vortices and point vortices.
Development of conditions under which vortex cores implode.
Existence of near-circular m-fold symmetric rotating hollow vortices for m ≥ 2.
Demonstrated that purely circular imploding vortices are locally unique among collapsing vortices.
Specific cases of self-similar implosion presented for trio and quartet hollow vortex configurations.

Chen et al. (2026) studied this question.

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