Overhanging solitary water waves
数学专题报告
报告题目(Title)：Overhanging solitary water waves
报告人(Speaker)：Miles H. Wheeler (University of Bath)
地点(Place)：Zoom ID：937 8510 8632, PWD: 840183
时间(Time)：2024 年 11月 7日 16：00—17：00
邀请人(Inviter)：熊金钢
报告摘要
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, Helein, and Pacard. This is joint work with Juan Davila, Manuel del Pino, and Monica Musso.
* This PDE seminar is co-organized with Tianling Jin at HKUST and Juncheng Wei at CUHK. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html
