Long time behavior for vortex dynamics in the 2 dimensional Euler equations

Meeting Details

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

Speaker: Monica Musso, University of Bath

Abstract: The evolution of a two-dimensional, incompressible, ideal fluid with smooth initial vorticity concentrated in small regions is well understood over finite time intervals. In the limit of vanishing regions, it converges to a superposition of Dirac deltas centered at collision-free solutions of the point vortex system. Although the point vortex system has a global smooth solution for generic initial conditions, much less is known about the long-term behavior of the fluid vorticity. We consider two cases: one involving two vortex pairs traveling in opposite directions and another in which vortices expand in a self-similar manner. Using gluing methods, we describe the global dynamics of these configurations. This work is in collaboration with J. Davila (University of Bath), M. del Pino (University of Bath), and S. Parmeshwar (CY Cergy Paris Université).

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Room Reservation Information

Room Number: 114 McAllister

Date: 03/05/2025

Time: 2:30pm - 3:30pm