Manuel del Pino (University of Bath)
Wed 05 Dec 2018, 15:00 - 16:00
Bayes Centre, G.03

If you have a question about this talk, please contact: Kostas Zygalakis (kzygalak)

We consider the two-dimensional Euler flow for an incompressible fluid confined to a smooth domain. We construct smooth solutions with concentrated vorticities around k points which evolve according to the Hamiltonian system for the Kirkhoff-Routh energy, using an outer-inner solution gluing approach. The asymptotically singular profile around each point resembles a scaled finite mass solution of Liouville's equation. We also discuss the vortex filament conjecture for the three-dimensional case.


This is joint work with Juan Davila, Monica Musso and Juncheng Wei.