Accession Number:

AD0478688

Title:

WATER WAVES AT THE SHORELINE.

Descriptive Note:

Technical rept.,

Corporate Author:

WISCONSIN UNIV-MADISON DEPT OF MATHEMATICS

Personal Author(s):

• Taylor, Albion D.

Report Date:

1965-07-15

Pagination or Media Count:

54.0

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

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