Massimiliano Berti, Ricardo Montalto
Quasi-periodic standing wave solutions of 
gravity-capillary water waves
(2173K, pdf)

ABSTRACT.  We prove the existence and the linear stability 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 under the action of gravity and surface tension.