
Accession Number : AD0478688
Title : WATER WAVES AT THE SHORELINE.
Descriptive Note : Technical rept.,
Corporate Author : WISCONSIN UNIVMADISON DEPT OF MATHEMATICS
Personal Author(s) : Taylor, Albion D.
Report Date : 15 JUL 1965
Pagination or Media Count : 54
Abstract : The nonlinear equations of twodimensional 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 simpleharmonic 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 borefree. It is shown, moreover, that the solution does represent a borefree motion for sufficiently small, nonzero amplitude, except at a set of resonant frequencies. (Author)
Descriptors : *BEACHES), (*WATER WAVES, MATHEMATICAL ANALYSIS, OCEANOGRAPHIC DATA, MOTION, NONLINEAR DIFFERENTIAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, THEORY, FLUID MECHANICS, COASTAL REGIONS, OCEAN WAVES.
Subject Categories : Physical and Dynamic Oceanography
Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE