41 citations · 350 across the 36 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.AP2018★ 3 cited
Birkhoff normal form and long time existence for periodic gravity water waves
Massimiliano Berti, Roberto Feola, Fabio Pusateri
We consider the gravity water waves system with a periodic one-dimensional interface in infinite depth, and prove a rigorous reduction of these equations to Birkhoff normal form up…
math.AP2018★ 33 cited
Long-time existence for multi-dimensional periodic water waves
A. D. Ionescu, F. Pusateri
We prove an extended lifespan result for the full gravity-capillary water waves system with a dimensional periodic interface: for initial data of sufficiently small size $\vare…
math.AP2018★ 3 cited
On the global behavior of weak null quasilinear wave equations
Yu Deng, Fabio Pusateri
We consider a class of quasilinear wave equations in space-time dimensions that satisfy the "weak null condition" as defined by Lindblad and Rodnianski \cite{LR1}, and study…