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. - 263:1273(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.
2020
263
1273
1
184
1273
https://arxiv.org/abs/1602.02411v2
Berti, M.; Montalto, R.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/67607
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