Quasi-periodic Standing Wave Solutions of Gravity-Capillary Water Waves

Quasi-periodic Standing Wave Solutions of Gravity-Capillary Water Waves
Author :
Publisher : American Mathematical Soc.
Total Pages : 184
Release :
ISBN-10 : 9781470440695
ISBN-13 : 1470440695
Rating : 4/5 (695 Downloads)

Book Synopsis Quasi-periodic Standing Wave Solutions of Gravity-Capillary Water Waves by : Massimiliano Berti

Download or read book Quasi-periodic Standing Wave Solutions of Gravity-Capillary Water Waves written by Massimiliano Berti and published by American Mathematical Soc.. This book was released on 2020-04-03 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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