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4 papers
Pure gravity traveling quasi-periodic water waves with constant vorticity
Massimiliano Berti, Luca Franzoi, Alberto Maspero
We prove the existence of small amplitude time quasi-periodic solutions of the pure gravity water waves equations with constant vorticity, for a bidimensional fluid over a flat bot…
Traveling quasi-periodic water waves with constant vorticity
Massimiliano Berti, Luca Franzoi, Alberto Maspero
We prove the first bifurcation result of time quasi-periodic traveling waves solutions for space periodic water waves with vorticity. In particular we prove existence of small ampl…
Quadratic life span of periodic gravity-capillary water waves
Massimiliano Berti, Roberto Feola, Luca Franzoi
We consider the gravity-capillary water waves equations for a bi-dimensional fluid with a periodic one-dimensional free surface. We prove a rigorous reduction of this system to Bir…
Reducibility for a fast driven linear Klein-Gordon equation
Luca Franzoi, Alberto Maspero
We prove a reducibility result for a linear Klein-Gordon equation with a quasi-periodic driving on a compact interval with Dirichlet boundary conditions. No assumptions are made on…