We will begin by introducing the water waves equations which are a system of evolution equations modeling the motion of waves (like those in the surface of the ocean), and discuss some of the works done in recent years on the question of long-time regularity. We will then present a recent result, joint with Deng, Ionescu and Pausader, about global existence of smooth solutions for the 3d gravity-capillary water waves system in infinite depth. The main difficulties in this problem are the slow decay of linear solutions and the presence of a large set of resonant interactions
De Patrick Gerard
De Hatem Zaag
De Thomas Kappeler
De Michal Kowalczyk
De Cécile Huneau
De Mihalis Dafermos
De Andrea Nahmod
De Benjamin Schlein
De Chris Sogge
De Alexandru Ionescu
De Vlad Vicol
De Thomas Alazard
De Robert Jerrard
De Camillo de Lellis
De Albert Schwarz
De Chao Li
De Albert Schwarz
De Albert Schwarz
De Francesca Arici
De Shirly Geffen
De Juan Camilo Arosemena Serrato
De Amine Marrakchi
