In this short note, we review recent results concerning the long time dynamics of large data
solutions to several dispersive models. Starting with the KdV case and ending with the KP …

We consider the Kadomtsev-Petviashvili II (KP) model placed in $\mathbb R_t\times\mathbb
R_ {x, y}^ 2$, in the case of smooth data that are not necessarily in a Sobolev space. In this …

We prove large time asymptotics for solutions of the KP I equation with small initial data. Our
assumptions on the initial data rule out lump solutions but give a precise description of the …

We consider the long time dynamics of large solutions to the Benjamin–Ono equation. Using
virial techniques, we describe regions of space where every solution in a suitable Sobolev …

This thesis is dedicated to the study of soliton and multi-soliton solutions of the KP-II
equation constructed by Kodama. These are built from the Wronskian of a set of linearly …

This report describes the main scientific and nonscientific outputs obtained in the workshop
“New Trends in Mathematics of Dispersive, Integrable and Nonintegrable Models in Fluids …