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The Froude number for solitary waves

Published online by Cambridge University Press:  14 November 2011

J. B. McLeod
J. B. McLeod
Affiliation:
Wadham College, Oxford University, Oxford
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 97 , 1984 , pp. 193 - 197
Copyright
Copyright © Royal Society of Edinburgh 1984

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References

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