水波的Hamiltonian准微分Birkhoff正规形式

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Regular and Chaotic Dynamics Pub Date : 2023-10-20 DOI:10.1134/S1560354723040032

Massimiliano Berti, Alberto Maspero, Federico Murgante

引用次数: 0

摘要

我们在[13]中给出了常涡度一维重力毛细水波方程的小振幅空间周期解的几乎全局时间存在性结果，并描述了证明的思想。这是基于一种新的准线性偏微分方程的哈密顿准微分Birkhoff范式方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves

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.

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来源期刊

Regular and Chaotic Dynamics 物理-力学

CiteScore

2.50

自引率

7.10%

发文量

审稿时长

>12 weeks

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.