Quasi-periodic standing wave solutions of gravity-capillary water waves
Analysis of PDEs
2018-04-13 v2
Abstract
We prove the existence and the linear stability of small amplitude time {\it quasi-periodic} standing wave solutions (i.e. periodic and even in the space variable ) of a -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.
Keywords
Cite
@article{arxiv.1602.02411,
title = {Quasi-periodic standing wave solutions of gravity-capillary water waves},
author = {Massimiliano Berti and Riccardo Montalto},
journal= {arXiv preprint arXiv:1602.02411},
year = {2018}
}
Comments
Revised version to appear in Memoirs of the American Mathematical Society, MEMO 891