报告题目：Leapfrogging Vortex Rings for the 3-Dimensional Incompressible Euler Equations

报告时间：2022-07-20  10:30 - 11:30

报告人：魏军城 加拿大皇家科学院院士(加拿大英属哥伦比亚大学)

腾讯会议ID：200-360-927

报告入口：https://meeting.tencent.com/dm/nYjyo71DFBkL

Abstract：A classical problem in fluid dynamics concerns the interaction of multiple vortex rings sharing a common axis of symmetry in an incompressible, inviscid three dimensional fluid. Helmholtz (1858) observed that a pair of similar thin, coaxial vortex rings may pass through each other repeatedly due to the induced flow of the rings acting on each other. This celebrated configuration, known as leapfrogging, has not yet been rigorously established. In this talk I will introduce new gluing methods for 3d Euler flows which provide a mathematical justification of leapfrogging phenomenon by constructing a smooth solution of the 3d Euler equations exhibiting this motion pattern. (Joint work with Juan Davila, Manuel del Pino and Monica Musso.)