21 citations · 68 across the 16 of their papers we have counts for
5 papers · 2 filters
On the wave turbulence theory of 2D gravity waves, I: deterministic energy estimates
Yu Deng, Alexandru D. Ionescu, Fabio Pusateri
Our goal in this paper is to initiate the rigorous investigation of wave turbulence and derivation of wave kinetic equations (WKE) for water waves models. This problem has received…
Asymptotic stability near the soliton for quartic Klein-Gordon in 1D
Adilbek Kairzhan, Fabio Pusateri
We consider the nonlinear focusing Klein-Gordon equation in dimensions and the global space-time dynamics of solutions near the unstable soliton. Our main result is a proof…
On the d cubic NLS with a non-generic potential
Gong Chen, Fabio Pusateri
We consider the cubic nonlinear Schrödinger equation with an external potential that is non-generic. Without making any parity assumption on the data, but assuming that th…
Internal mode-induced growth in d nonlinear Klein-Gordon equations
Tristan Léger, Fabio Pusateri
This note complements the paper \cite{LP} by proving a scattering statement for solutions of nonlinear Klein-Gordon equations with an internal mode in d. We show that small solu…
On d quadratic Klein-Gordon equations with a potential and symmetries
Pierre Germain, Fabio Pusateri, Katherine Zhiyuan Zhang
This paper is a continuation of a previous work Germain-Pusateri (2020) by the first two authors. We focus on dimensional quadratic Klein-Gordon equations with a potential, und…