Nonlinear Waves Trimester - June Conference

Collection Nonlinear Waves Trimester - June Conference

Organizer(s) T. Duyckaerts, F. Merle, J. Szeftel

Date(s) 20/06/2016 - 24/06/2016

linked URL https://indico.math.cnrs.fr/event/892/overview

00:00:00 / 00:00:00

15 23

Collision of almost parallel vortex filaments

By Valeria Banica

Vortex Filaments

We investigate the occurrence of collisions in the evolution of vortex filaments through a system introduced by Klein, Majda and Damodaran and by Zakharov. We first establish rigorously the existence of a pair of almost parallel vortex filaments, with opposite circulation, colliding at some point in finite time. The collision mechanism is based on the one of the self-similar solutions of the model, described in our previous work. We also extend this construction to the case of an arbitrary number of filaments, with polygonal symmetry, that are perturbations of a configuration of parallel vortex filaments forming a polygon, with or without its center, rotating with constant angular velocity. This is a joint work with Erwan Faou and Evelyne Miot.

Information about the video

Date of recording 23/06/2016
Date of publication 04/07/2016
Institution IHES
Format MP4

Domain(s)

Analysis of PDEs

MSC codes

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