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Some Results in the Mathematical Theory of Seiches

Published online by Cambridge University Press:  15 September 2014

Chrystal
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Abstract

I propose in this preliminary communication to lay before the Society some results of investigations in the theory of Seiches in a lake whose line of maximum depth is approximately straight, and whose depth, cross section, and surface breadth do not vary rapidly from point to point.

As the seiche disturbance is small compared with the length of the lake, I shall make the assumptions usual in the theory of long waves:—viz., that the squares of the displacements and of their derivatives are negligible.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 25 , Issue 1 , 1906 , pp. 328 - 337
Copyright
Copyright © Royal Society of Edinburgh 1906

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References

note * page 329 As opposed to a forced seiche, whose period depends partly on the period of the disturbing agency. Some of the seiches on Lake Erie are, I believe, of this nature.

note * page 330 The analogue of the relation cos 2x + sin 2x = 1 for the circular functions.