ICMAT-UCM Colloquium
GLUING METHODS FOR VORTEX DYNAMICS IN EULER FLOWS
Speaker: Manuel Del Pino (Department of Mathematical Sciences, University of Bath, UK)Date: Wednesday, 29 January 2020 - 13:00Place: Aula Naranja, ICMAT
Abstract:
We consider the two-dimensional Euler flow for an
incompressible fluid confined to a smooth domain. We construct
smooth solutions with concentrated vorticities around points which
evolve according to the Hamiltonian system for the Kirkhoff-Routh
energy. The profile around each point resembles a scaled finite
mass solution of Liouville`s equation. We discuss extensions of this
analysis to the case of vortex filaments in 3-dimensional space,
along the lines of Da Rios 1904 vortex filament conjecture in
connection with the binormal flow of curves.
