Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
650911 | European Journal of Mechanics - B/Fluids | 2006 | 13 Pages |
Abstract
We prove the existence of a large family of two-dimensional travelling wave patterns for a Boussinesq system which describes three-dimensional water waves. This model equation results from full Euler equations in assuming that the depth of the fluid layer is small with respect to the horizontal wave length, and that the flow is potential, with a free surface without surface tension. Our proof uses the Lyapunov–Schmidt method which may be managed here, contrary to the case of gravity waves with full Euler equations. Our results are in a good qualitative agreement with experimental results.
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