The Froude number for solitary waves
- 1 January 1984
- journal article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 97, 193-197
- https://doi.org/10.1017/s0308210500031978
Abstract
Synopsis: The 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 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.Keywords
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- Theoretical HydrodynamicsPublished by Springer Nature ,1968