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On the stability of gravity waves on deep water

Published online by Cambridge University Press:  26 April 2006

Christian Kharif  and
Alfred Ramamonjiarisoa
Christian Kharif
Affiliation:
Institut de Mécanique Statistique de la Turbulence, 12 Avenue General Lederc, 13003 Marseille, France
Alfred Ramamonjiarisoa
Affiliation:
Institut de Mécanique Statistique de la Turbulence, 12 Avenue General Lederc, 13003 Marseille, France
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Abstract

This note presents numerical results on the stability of large-amplitude gravity waves on deep water. The results are then used to predict new two-dimensional superharmonic instabilities. They are due to collisions of eigenvalues of opposite signatures, confirming the recent condition for instability of MacKay & Saffman (1986).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 218 , September 1990 , pp. 163 - 170
Copyright
© 1990 Cambridge University Press

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