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.
Quasi-periodic standing wave solutions of gravity-capillary water waves / Berti, M.; Montalto, R.. - In: MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0065-9266. - 263:(2020), pp. 1-184. [10.1090/memo/1273]
Quasi-periodic standing wave solutions of gravity-capillary water waves
Berti, M.;Montalto, R.
2020-01-01
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.File in questo prodotto:
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