On the analyticity of the Dirichlet-Neumann operator and Stokes waves (Q2694442)
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scientific article; zbMATH DE number 7671474
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the analyticity of the Dirichlet-Neumann operator and Stokes waves |
scientific article; zbMATH DE number 7671474 |
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On the analyticity of the Dirichlet-Neumann operator and Stokes waves (English)
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3 April 2023
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Summary: 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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Dirichlet-Neumann operator
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traveling water wave
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bifurcation theory
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0.9074092
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