A model of rigid vortex filament in Euler flows

PDE Seminar

Meeting Details

For more information about this meeting, contact Toan T. Nguyen.

Speaker: Olivier Glass, Université Paris-Dauphine

Abstract: We consider the evolution of a rigid solid having the shape of a tube in a 3D perfect incompressible fluid and study the limit of the system as the tube shrinks to a curve, keeping a fixed circulation. Under certain assumptions, the system converges a model of a rigid vortex filament coupling the fluid and the position of the curve. This follows a series of papers in the 2D case where the dynamics of small solids in a fluid converges to point vortices models, which I will also describe. This is a joint work with David Meyer (Madrid) and Franck Sueur (Luxembourg).


Room Reservation Information

Room Number: 114 McAllister

Date: 04/15/2025

Time: 12:00pm - 1:30pm