Nonlinear Waves Trimester - May Conference

Collection Nonlinear Waves Trimester - May Conference

Organizer(s) Frank MERLE (Université de Cergy-Pontoise & IHÉS), Pierre RAPHAËL (Université Nice Sophia-Antipolis), Nikolay TZVETKOV (Université de Cergy-Pontoise)

Date(s) 23/05/2016 - 27/05/2016

linked URL https://indico.math.cnrs.fr/event/889/

00:00:00 / 00:00:00

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Almost global solutions for the capillarity wave equation with small periodic data

By Jean Marc Delort

We prove that the capillarity waves equation in one dimension and finite depth has solutions over time intervals of length $c_N\epsilon^{-N}$ for any $N$, if the Cauchy data are of small size $\epsilon$ and space periodic, and if the gravity, or the surface tension, is taken outside a subset of zero measure. The proof relies on normal forms and on the use of the reversibility of the equation. This is joint work with Massimiliano Berti

Information about the video

Date of recording 24/05/2016
Date of publication 03/06/2016
Institution IHES
Language English
Format MP4

Domain(s)

Analysis of PDEs

MSC codes

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