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On the exterior problems of acoustics: II

Published online by Cambridge University Press:  24 October 2008

F. Ursell
F. Ursell
Affiliation:
Department of Mathematics, University of Manchester, Manchester M13 9PL
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Abstract

The exterior problems of acoustics can be reduced to the solution of Fredholm integral equations of the second kind in many different ways. Some of these equations break down at certain values of the wavenumber but this difficulty can be reduced or even removed altogether by choosing a different (usually more complicated) integral equation. The present paper is concerned with a class of equations proposed recently by D. S. Jones. It is shown that the proof of one of his principal results can be much shortened.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 84 , Issue 3 , November 1978 , pp. 545 - 548
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

REFERENCES

(1)Jones, D. S.Integral equations for the exterior acoustic problem. Quart. J. Mech. Appl. Math. 27 (1974), 129–142.CrossRefGoogle Scholar
(2)Ursell, F.Short surface waves due to an oscillating immersed body. Proc. Roy. Soc. Ser. A 220 (1953), 90–103.Google Scholar
(3)Ursell, F.On the exterior problems of acoustics. Proc. Cambridge Philos. Soc. 74 (1973), 117–125.CrossRefGoogle Scholar