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 / Baldi, Pietro; Berti, Massimiliano; Haus, Emanuele; Montalto, Riccardo. - 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
Pietro Baldi;
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.