Dia: Dimecres, 7 d'abril de 2021
Lloc: ONLINE https://meet.google.com/zvg-pajn-owr
A càrrec de: Filippo Giuliani, Universitat Politècnica de Catalunya
Títol: Time quasi-periodic traveling gravity water waves in infinite depth
Resum: I will present a result of existence and stability of quasi-periodic in time, small amplitude solutions of the pure gravity water waves bi-dimensional system with infinite depth. In this case the rest surface is a completely resonant elliptic fixed point of the phase space, in the sense that the linearized problem at the origin possesses an infinite dimensional subspace on which the dynamics is periodic. Then the search for quasi-periodic solutions requires a refined bifurcation nonlinear analysis, especially to deal with lower order non-trivial resonances, such as the well-known Benjamin-Feir resonances. The proof is based on a combination of a Nash-Moser scheme, Birkhoff normal form methods and pseudo-differential calculus techniques. This is a joint work with R. Feola.
Last updated: Thu Apr 1 09:45:57 2021