Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves
Copyright policy )Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves
We prove the existence and the linear stability of small amplitude time quasi-periodic standing wave solutions (i.e. periodic and even in the space variable x x ) of a 2 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.
- University of Zurich Switzerland
- SISSA
- International School for Advanced Studies Italy
Water waves, 76B15, 37K55, 76D45 (37K50, 35S05), Mathematics - Analysis of PDEs, Quasi-periodic solutions, FOS: Mathematics, KAM for PDEs, standing waves, Analysis of PDEs (math.AP)
Water waves, 76B15, 37K55, 76D45 (37K50, 35S05), Mathematics - Analysis of PDEs, Quasi-periodic solutions, FOS: Mathematics, KAM for PDEs, standing waves, Analysis of PDEs (math.AP)
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