A note on KAM for gravity-capillary water waves
Journées équations aux dérivées partielles (2016), Exposé no. 7, 18 p.

We present the result and the ideas of the recent paper [8] (obtained in collaboration with M. Berti) concerning the existence of Cantor families of small amplitude time quasi-periodic standing wave solutions (i.e. periodic and even in the space variable x) of a 2-dimensional ocean, with infinite depth, in irrotational regime, under the action of gravity and surface tension at the free boundary. These quasi-periodic solutions are linearly stable.

Publié le :
DOI : 10.5802/jedp.648
Classification : 76B15, 37K55, 76D45, 37K50
Mots clés : KAM for PDEs, water waves, quasi-periodic solutions.
Montalto, Riccardo 1

1 University of Zürich Winterthurerstrasse 190 CH-8057, Zürich Switzerland
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Montalto, Riccardo. A note on KAM for gravity-capillary water waves. Journées équations aux dérivées partielles (2016), Exposé no. 7, 18 p. doi : 10.5802/jedp.648. http://archive.numdam.org/articles/10.5802/jedp.648/

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