Overhanging solitary water waves

Add to your list(s) Download to your calendar using vCal

• Miles H. Wheeler (University of Bath)
• Monday 02 June 2025, 14:00-15:00
• MR13.

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 Partial Differential Equations seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Fav
• Hanchen DaDaDash
• Interested Talks
• MR13
• My seminars
• Partial Differential Equations seminar
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.