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Dynamics of concentrated vorticities in 2d and 3d Euler flows
【2022.1.20 9:00pm, Zoom会议】

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 2021-12-28 

  Colloquia & Seminars 

  Speaker

Prof. Manuel Del Pino ,University of Bath

  Title

Dynamics of concentrated vorticities in 2d and 3d Euler flows

  Time

2022.01.20 21:00-22:00

  Venue

Zoom会议:933 2635 8203 密码:SeCNS9

  Abstract

A classical problem that traces back to Helmholtz and Kirchhoff is the understanding of the dynamics of solutions to the Euler equations of an inviscid incompressible fluid when the vorticity of the solution is initially concentrated near isolated points in 2d or vortex lines in 3d. We discuss some recent results on the existence and asymptotic behaviour of these solutions. We describe, with precise asymptotics, interacting vortices, and travelling helices. We rigorously establish the law of motion of ”leapfrogging vortex rings”, originally conjectured by Helmholtz in 1858.

  Affiliation

 

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