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Overhanging solitary water waves

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  • UserMiles H. Wheeler (University of Bath) Speaker website
  • ClockMonday 02 June 2025, 14:00-15:00
  • HouseMR13.

If you have a question about this talk, please contact Giacomo Ageno .

We construct gravity water waves with constant vorticity having the approximate form of a disk joined to a strip by a thin neck. This is the first rigorous existence result for such waves, which have been seen in numerics since the 80s and 90s. Our method is related to the construction of constant mean curvature surfaces through gluing, and involves combining three explicit solutions to related problems: a disk of fluid in rigid rotation, a linear shear flow in a strip, and a rescaled version of an exceptional domain discovered by Hauswirth, Hélein, and Pacard.

This is joint work with Juan Dávila, Manuel del Pino, and Monica Musso.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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