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arXiv · 2201.04675

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

Massimiliano Berti·Alberto Maspero·Paolo Ventura
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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.

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Massimiliano Berti, Alberto Maspero, Paolo Ventura. 2022-01-12. On the analyticity of the Dirichlet-Neumann operator and Stokes waves. https://arxiv.org/abs/2201.04675

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