The evolution of vortex filaments with corners
Date: Mon, Oct 21 - Wed, Oct 23 2013
Hour: 09:30
Speakers: Luis Vega, BCAM
Title: The evolution of vortex filaments with corners
Lecturer: Luis Vega (BCAM)
Dates: October 21-23, 2013 (plus two more days to be fixed)
Time: 9h30-11h30
Venue: BCAM Headquarters, Alameda Mazarredo 14, Bilbao
Abstract:
The aim of the course is to give a self contained exposition of the recent paper written in collaboration with F. de la Hoz about the vortex filament equation for a regular polygon [1]. This equation, also called Localized Induction Approximation, is a mathematical idealization of the real dynamics that is given by Euler equations. Geometrically the velocity of a given point of the filament is in the direction of the binormal with a speed that is proportional to the curvature. The underlying PDE is a non-linear Schrodinger equation, so that some elemental aspects of non-linear dispersive equations will be also reviewed.
References:
[1] F. de la Hoz, L. Vega, Vortex Filament Equation for a Regular Polygon,
arXiv:1304.5521 (http://arxiv.org/abs/1304.5521)
Contact: lgerardo@bcamath.org | roldan@bcamath.org | www.bcamath.org
Organizers:
BCAM
Confirmed speakers:
Luis Vega, BCAM