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 nite 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 / Baldi, P.; Berti, M.; Haus, E.; Montalto, R.. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 29:2(2018), pp. 215-236. [10.4171/RLM/802]
KAM for gravity water waves in finite depth
Berti, M.;Montalto, R.
2018-01-01
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 nite 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
