Quasi-periodic standing wave solutions of gravity-capillary water waves

Quasi-periodic standing wave solutions of gravity-capillary water waves

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Massimiliano Berti , SISSA
Fine Hall 110

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, joint work with R.Montalto.