KAM for gravity water waves in finite depth

被引：0

作者：

Baldi, Pietro ^{[1
]}

Berti, Massimiliano ^{[2
]}

Haus, Emanuele ^{[1
]}

Montalto, Riccardo ^{[3
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia Monte S Angelo, I-80126 Naples, Italy

[2] SISSA, Math Area, Via Bonomea 265, I-34136 Trieste, Italy

[3] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2018年 / 29卷 / 02期

基金：

瑞士国家科学基金会; 欧洲研究理事会;

关键词：

Water waves; KAM for PDEs; quasi-periodic solutions; standing waves;

D O I：

10.4171/RLM/802

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present the recent result in [3] concerning the existence of Cantor families of small amplitude. linearly stable, time quasi-periodic standing water wave solutions - i.e. periodic and even in the space variable x - of a bi-dimensional ocean with finite depth under the action of pure gravity. Such a result holds for all the values of the depth parameter in a Borel set of asymptotically full measure.

引用

页码：215 / 236

页数：22

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