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Fundamental singularities in the theory of water waves with surface tension

Published online by Cambridge University Press:  17 April 2009

P. F. Rhodes-Robinson
P. F. Rhodes-Robinson
Affiliation:
Victoria University of Wellington, Wellington, New Zealand.
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Abstract

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In this paper the forms are obtained for the harmonic potential functions describing the fundamental wave-source and multipole singularities which pertain to the study of infinitesimal time-harmonic waves on the free surface of water when the effect of surface tension is included. Line and point singularities are considered for both the cases of infinite and finite constant depth of water. The method used is an extension of that which has been used to obtain these potentials in the absence of surface tension.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 2 , Issue 3 , June 1970 , pp. 317 - 333
Copyright
Copyright © Australian Mathematical Society 1970

References

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