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Wave source potentials for two superposed fluids, each of finite depth

Published online by Cambridge University Press:  24 October 2008

S. E. Kassem
S. E. Kassem
Affiliation:
Department of Mathematics, Faculty of Science, Moharrem Bey, Alexandria, Egypt
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Abstract

Problems dealing with the generation of internal waves at the surface separating two fluids involves the consideration of different types of singularities in one of the two fluids. In this paper the velocity potentials describing line sources are obtained for the case when each fluid is of finite constant depth, neglecting effects of surface tension at the surface of separation.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 100 , Issue 3 , November 1986 , pp. 595 - 599
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

REFERENCES

[1]Gorgui, M. A. and Kassem, S. E.. Basic singularities in the theory of internal waves. Quart. J. Mech. Appl. Math. 31 (1978), 31–48.Google Scholar
[2]Kassem, S. E.. Multipole expansions for two superposed fluids, each of finite depth. Math. Proc. Cambridge Philos. Soc. 91 (1982), 323–329.CrossRefGoogle Scholar