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

par Luis Vega (BCAM-UPV/EHU)

lundi 5 févr. 2024, 13:00 → 15:15 Europe/Paris

435 (UMPA, ENS de Lyon)

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.