Massimiliano Berti, Alberto Maspero, Federico Murgante
{"title":"Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves","authors":"Massimiliano Berti, Alberto Maspero, Federico Murgante","doi":"10.1134/S1560354723040032","DOIUrl":null,"url":null,"abstract":"<div><p>We present the almost global in time existence result in [13]\nof small amplitude space <i>periodic</i>\nsolutions of the 1D gravity-capillary water waves equations with constant vorticity\nand we describe the ideas of proof.\nThis is based on a novel Hamiltonian paradifferential\nBirkhoff normal form approach for quasi-linear PDEs.</p></div>","PeriodicalId":752,"journal":{"name":"Regular and Chaotic Dynamics","volume":"28 4","pages":"543 - 560"},"PeriodicalIF":0.8000,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Regular and Chaotic Dynamics","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1134/S1560354723040032","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We present the almost global in time existence result in [13]
of small amplitude space periodic
solutions of the 1D gravity-capillary water waves equations with constant vorticity
and we describe the ideas of proof.
This is based on a novel Hamiltonian paradifferential
Birkhoff normal form approach for quasi-linear PDEs.
期刊介绍：
Regular and Chaotic Dynamics (RCD) is an international journal publishing original research papers in dynamical systems theory and its applications. Rooted in the Moscow school of mathematics and mechanics, the journal successfully combines classical problems, modern mathematical techniques and breakthroughs in the field. Regular and Chaotic Dynamics welcomes papers that establish original results, characterized by rigorous mathematical settings and proofs, and that also address practical problems. In addition to research papers, the journal publishes review articles, historical and polemical essays, and translations of works by influential scientists of past centuries, previously unavailable in English. Along with regular issues, RCD also publishes special issues devoted to particular topics and events in the world of dynamical systems.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
