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Resonant surface waves

Published online by Cambridge University Press:  29 March 2006

J. R. Ockendon
Affiliation:
Mathematical Institute, Oxford
H. Ockendon
Affiliation:
Mathematical Institute, Oxford

Abstract

Small amplitude forced horizontal or vertical oscillations of a container of liquid with a free surface may give rise to motions in the liquid on a scale much greater than the forcing amplitude. Three such situations are analysed and, in those cases where the response is still small compared with the dimensions of the container, explicit asymptotic solutions for the liquid motion are obtained.

Type
Research Article
Copyright
© 1973 Cambridge University Press

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