What question did this study set out to answer?

The central aim is to develop a method for desingularizing steady point vortex configurations into hollow vortices and explore their properties.

February 28, 2026Annals of PDEOpen Access

Desingularization and Global Continuation for Hollow Vortices

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Demonstrates a method to analyze hollow vortices, revealing new solutions and properties of vortex behavior.

The central aim is to develop a method for desingularizing steady point vortex configurations into hollow vortices and explore their properties.
Utilized global bifurcation theory to generate solutions that approach singularities.
Characterized collections of steady hollow vortices across translating, rotating, and stationary regimes.
Provided existence theories for specific vortex configurations.
Established existence theories for co-rotating hollow vortex pairs and stationary hollow vortex tripoles.
Demonstrated that vortex families extend into the non-perturbative regime.
Characterized the limiting behavior along the global bifurcation curve.

Chen et al. (2026) studied this question.

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