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Quasi-periodic Standing Wave Solutions of Gravity-Capillary Water Waves by Massimiliano Berti 9781470440695
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Quasi-periodic Standing Wave Solutions of Gravity-Capillary Water Waves by Massimiliano Berti 9781470440695

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The authors 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 $x$) 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.

Book Information
ISBN 9781470440695
Author Massimiliano Berti
Format Paperback
Page Count 171
Imprint American Mathematical Society
Publisher American Mathematical Society

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