关于Dirichlet–Neumann算子和Stokes波的分析性

IF 0.6 4区数学 Q3 MATHEMATICS

Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2022-01-12 DOI:10.4171/rlm/983

M. Berti, A. Maspero, Paolo Ventura

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引用次数: 2

摘要

证明了无限深度无界域上任意维空间周期边界条件下Dirichlet-Neumann算子的解析性结果。我们得到了解析Stokes波的解析分岔结果，即。深水中水波方程的空间周期行解。MSC 2020: 76b15, 35b32, 35j05。

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On the analyticity of the Dirichlet–Neumann operator and Stokes waves

We prove an analyticity result for the Dirichlet-Neumann operator under space periodic boundary conditions in any dimension in an unbounded domain with infinite depth. We derive an analytic bifurcation result of analytic Stokes waves –i.e. space periodic traveling solutions– of the water waves equations in deep water. MSC 2020: 76B15, 35B32, 35J05.

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来源期刊

Rendiconti Lincei-Matematica e Applicazioni MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal is dedicated to the publication of high-quality peer-reviewed surveys, research papers and preliminary announcements of important results from all fields of mathematics and its applications.