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.
On the analyticity of the Dirichlet–Neumann operator and Stokes waves / Berti, Massimiliano; Maspero, Alberto; Ventura, Paolo. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 33:3(2022), pp. 611-650. [10.4171/RLM/983]
On the analyticity of the Dirichlet–Neumann operator and Stokes waves
Berti, Massimiliano;Maspero, Alberto;Ventura, Paolo
2022-01-01
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.File in questo prodotto:
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