Data di Pubblicazione:
2020
Citazione:
Quasi-periodic standing wave solutions of gravity-capillary water waves / M. Berti, R. Montalto. - In: MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0065-9266. - 263:1273(2020 Jan), pp. 1-184. [10.1090/memo/1273]
Abstract:
We prove the existence and the linear stability of small amplitude time quasiperiodic 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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
KAM for PDEs; Water waves; quasi-periodic solutions; standing waves;
Elenco autori:
M. Berti, R. Montalto
Link alla scheda completa:
Link al Full Text: