Quasi-periodic water waves

被引：14

作者：

Berti, Massimiliano ^{[1
]}

Montalto, Riccardo ^{[2
]}

机构：

[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[2] Univ Zurich, Winterthurerstr 190, CH-8057 Zurich, Switzerland

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 01期

基金：

瑞士国家科学基金会;

关键词：

KAM for PDEs; water waves; quasi-periodic solutions; standing waves; KAM; THEOREM; TORI;

D O I：

10.1007/s11784-016-0375-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present the result and the ideas of the recent paper (Berti andMontalto, Quasi-periodic standing wave solutions of gravity-capillary water waves, http://arxiv. org/abs/1602.02411, 2016) concerning the existence of Cantor families 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, in irrotational regime, under the action of gravity and surface tension at the free boundary. These quasi-periodic solutions are linearly stable.

引用

页码：129 / 156

页数：28

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