Quasi-periodic Standing Wave Solutions of Gravity-Capillary Water Waves
| Author | : Massimiliano Berti |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 184 |
| Release | : 2020-04-03 |
| ISBN-13 | : 9781470440695 |
| ISBN-10 | : 1470440695 |
| Rating | : 4/5 (95 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.
