On the analyticity of the Dirichlet-Neumann operator and Stokes waves
Analysis of PDEs
2022-01-14 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2201.04675,
title = {On the analyticity of the Dirichlet-Neumann operator and Stokes waves},
author = {Massimiliano Berti and Alberto Maspero and Paolo Ventura},
journal= {arXiv preprint arXiv:2201.04675},
year = {2022}
}