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Quasi-periodic standing wave solutions of gravity-capillary water waves

Academic Article
Publication Date:
2020
Citation:
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]
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.
IRIS type:
01 - Articolo su periodico
Keywords:
KAM for PDEs; Water waves; quasi-periodic solutions; standing waves;
List of contributors:
M. Berti, R. Montalto
Authors of the University:
MONTALTO RICCARDO ( author )
Link to information sheet:
https://air.unimi.it/handle/2434/726528
Full Text:
https://air.unimi.it/retrieve/handle/2434/726528/1448494/Berti-Montalto-Memoires.pdf
Project:
Aspetti variazionali e perturbativi nei problemi differenziali nonlineari
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Research Areas

Concepts (2)


Settore MAT/05 - Analisi Matematica

Settore MAT/07 - Fisica Matematica
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