Steady vortex rings with surface tension
数学专题报告
报告题目(Title)：Steady vortex rings with surface tension
报告人(Speaker)：Christian Seis (Universität Münster, Germany)
地点(Place)：ZoomID: 989 5275 7926, PWD: 340496
时间(Time)：2024 年 3月 7日 16：00—17：00
邀请人(Inviter)：熊金钢
报告摘要
The existence of steady vortex rings for the two-phase Euler equations with surface tension is studied, describing the evolution of a perfect bubble air ring in water. Such objects are created in nature by cetaceans such as dolphins or beluga whales, and they appear to be surprisingly stable configurations. The mathematical model features a vortex sheet on the surface of the air bubble. We construct such vortex rings with small cross sections with the help of an implicit function theorem and derive the asymptotics of various quantities for small cross sections. Joint work with David Meyer (Münster).
* This PDE seminar is co-organized with Tianling Jin at The Hong Kong University of Science and Technology. See the seminar webpage:
https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html
