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.
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]
Quasi-periodic standing wave solutions of gravity-capillary water waves
R. MontaltoSecondo
2020
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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
Berti-Montalto-Memoires.pdf
accesso aperto
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
1 MB
Formato
Adobe PDF
|
1 MB | Adobe PDF | Visualizza/Apri |
|
memo1273.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
2.18 MB
Formato
Adobe PDF
|
2.18 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
