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Resonant interactions among capillary-gravity waves

Published online by Cambridge University Press:  28 March 2006

Lawrence F. Mcgoldrick
Lawrence F. Mcgoldrick
Affiliation:
Department of Mechanics, The Johns Hopkins University, Baltimore, Maryland
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Abstract

The analysis presented here is a second-order analysis of the resonant interactions triads of waves with wavelengths in the capillary-gravity and pure capillary ranges. The analysis is not a power series perturbation analysis, and one of the objects is the removal of the secularity which arises through power series perturbations. It is further found that the interactions are energy-conserving to the order considered here. Suitable modifications are made to accommodate the inevitable viscous attenuation associated with these small wavelengths. A start is made toward describing more completely the various spectra of random seas in wave-number and frequency regions where these interactions are dynamically significant.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 21 , Issue 2 , February 1965 , pp. 305 - 331
Copyright
© 1965 Cambridge University Press

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