Estás viendo actualmente el perfil de Daniel Peralta-Salas. Vuelve al Historial para mostrar todas las conferencias o realiza una nueva búsqueda

Conferencias impartidas por Daniel Peralta-Salas

Existencia de tubos de vorticidad anudados en soluciones estacionarias de la ecuación de Euler

Consejo Superior de Investigaciones Científicas

In this talk I will review recent results, obtained in collaboration with A. Enciso, on the existence of knotted and linked thin vortex tubes for steady solutions to the incompressible Euler equation. More precisely, given a finite collection of (possibly linked and knotted) disjoint thin tubes, we will see that they can be transformed with a $\mathbb{C}^m$-small diffeomorphism into a set of vortex tubes of a steady solution to the Euler equation that tends to zero at infinity. In particular, we will recover and improve our previous theorem on the existence of knotted and linked vortex lines (Ann. of Math. 175 (2012) 345-367). The proof combines fine energy estimates for a boundary value problem associated to the curl operator with KAM theory and a Runge-type global approximation theorem. The problem of the existence of knotted and linked thin vortex tubes can be traced back to Lord Kelvin, and in fact these structures have been recently realized experimentally by Irvine and Kleckner at Chicago (Nature Phys. 9 (2013) 253-258).

Daniel Peralta-Salas

Consejo Superior de Investigaciones Científicas

Conferencias impartidas
1
Visitas al departamento
1
Última visita
Página web personal
Perfil en Mathscinet
[Mathscinet]
Perfil en Zentralblatt
[zentralblatt]
País de origen
España

¿Los datos no son correctos? Por favor, contacta con nosotros para solucionarlo.