| Title | On the analyticity of the Dirichlet-Neumann operator and Stokes waves |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Authors | Berti, M, Maspero, A, Ventura, P |
| Journal | RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI |
| Volume | 33 |
| Pagination | 611-650 |
| Type of Article | Article |
| ISSN | 1120-6330 |
| Keywords | Bifurcation theory; Dirichlet-Neumann operator; traveling waves; water waves |
| 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. |
| DOI | 10.4171/RLM/983 |
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