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arXiv · 1602.02411

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

Massimiliano Berti·Riccardo Montalto
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Abstract

We prove the existence and the linear stability of small amplitude time {\it 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. Such an existence result is obtained for all the values of the surface tension belonging to a Borel set of asymptotically full Lebesgue measure.

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Massimiliano Berti, Riccardo Montalto. 2016-02-07. Quasi-periodic standing wave solutions of gravity-capillary water waves. https://arxiv.org/abs/1602.02411

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