23 citations · 24 across the 2 of their papers we have counts for
4 papers
Almost global existence of solutions for capillarity-gravity water waves equations with periodic spatial boundary conditions
Massimiliano Berti, Jean-Marc Delort
The goal of this monograph is to prove that any solution of the Cauchy problem for the capillarity-gravity water waves equations, in one space dimension, with periodic, even in spa…
Sobolev estimates for two dimensional gravity water waves
Thomas Alazard, Jean-Marc Delort
Our goal in this paper is to apply a normal forms method to estimate the Sobolev norms of the solutions of the water waves equation. We construct a paradifferential change of unkno…
Global solutions and asymptotic behavior for two dimensional gravity water waves
Thomas Alazard, Jean-Marc Delort
This paper is devoted to the proof of a global existence result for the water waves equation with smooth, small, and decaying at infinity Cauchy data. We obtain moreover an asympto…
Almost global existence for Hamiltonian semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds
Dario Bambusi, Jean-Marc Delort, Benoit Grebert +1
This paper is devoted to the proof of almost global existence results for Klein-Gordon equations on Zoll manifolds (e.g. spheres of arbitrary dimension) with Hamiltonian nonlineari…