We present the recent result in [3] concerning the existence of Cantor families of small amplitude, linearly stable, time quasi-periodic standing water wave solutions – i.e. periodic and even in the space variable x – of a bi-dimensional ocean with finite depth under the action of pure gravity. Such a result holds for all the values of the depth parameter in a Borel set of asymptotically full measure
KAM for gravity water waves in finite depth / P. Baldi, M. Berti, E. Haus, R. Montalto. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1720-0768. - 29:2(2018 Apr 26), pp. 215-236.
KAM for gravity water waves in finite depth
R. Montalto
2018
Abstract
We present the recent result in [3] concerning the existence of Cantor families of small amplitude, linearly stable, time quasi-periodic standing water wave solutions – i.e. periodic and even in the space variable x – of a bi-dimensional ocean with finite depth under the action of pure gravity. Such a result holds for all the values of the depth parameter in a Borel set of asymptotically full measure
| File | Dimensione | Formato | |
|---|---|---|---|
|
RLM-2018-029-002-01.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
184.99 kB
Formato
Adobe PDF
|
184.99 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
2434:608346.pdf
accesso aperto
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
325.26 kB
Formato
Adobe PDF
|
325.26 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
