Séminaire Analyse et Modélisation

The binormal flow and the desingularization of the Biot-Savart integral

par Luis Vega (BCAM-UPV/EHU)

→ Europe/Paris
435 (UMPA, ENS de Lyon)

435

UMPA, ENS de Lyon

ENS de Lyon Site Monod, 46 Allée d'Italie
Description

I’ll present the so called Localized Induction Approximation that describes the dynamics of a vortex filament according to the Binormal Curvature Flow (BF). I’ll give a result about the desingularization of the Biot-Savart integral proved with Marco A. Fontelos within the framework of Navier-Stokes equations. Some particular examples regarding BF obtained with Valeria Banica will be also considered.