1.

Record Nr.

UNINA9910794068003321

Autore

Berti Massimiliano

Titolo

Quasi-periodic standing wave solutions of gravity-capillary water waves / / Massimiliano Berti, Riccardo Montalto

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2020

ISBN

1-4704-5654-0

Descrizione fisica

1 online resource (184 pages)

Collana

Memoirs of the American Mathematical Society ; ; Volume 263

Classificazione

76B1537K5576D4537K5035S05

Disciplina

532.0593

Soggetti

Water waves - Mathematical models

Wave equation - Numerical solutions

Standing waves

Kolmogorov-Arnold-Moser theory

Capillarity

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Sommario/riassunto

"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"--