Accession Number : ADA134548

Title :   The Froude Number for Solitary Waves.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : McLeod,J B

PDF Url : ADA134548

Report Date : Aug 1983

Pagination or Media Count : 12

Abstract : This paper is concerned with the problem of a solitary wave moving with constant form and constant velocity c on the surface of an incompressible, inviscid fluid over a horizontal bottom. The motion is assumed to be two-dimensional and irrotational, and if h is the depth of the fluid at infinity and g the acceleration due to gravity, then the Froude number F is defined by F squared = (c squared)/gh. The result that F 1 has recently been proved by Amick and Toland by means of a long and complicated argument. Here we give a short and simple one. (Author)

Descriptors :   *Wave equations, *Fluid flow, Incompressibility, Inviscid flow, Two dimensional, Constants, Velocity, Horizontal orientation, Bottom

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE