WATER WAVES AT THE SHORELINE.
Abstract
The nonlinear equations of two-dimensional wave motion on a shallow beach are used to study motions starting from rest and developing so that the surface elevation, at a fixed distance from the initial shore position, approaches rapidly an approximately simple-harmonic function of time. The Laplace transform is applied to a related problem and is inverted to obtain the solution of the physical problem when the water motion is bore-free. It is shown, moreover, that the solution does represent a bore-free motion for sufficiently small, non-zero amplitude, except at a set of resonant frequencies. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 15, 1965
- Accession Number
- AD0478688
Entities
People
- Albion D. Taylor
Organizations
- University of Wisconsin Madison Department of Mathematics