
Accession Number : ADA134548
Title : The Froude Number for Solitary Waves.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON 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 twodimensional 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