On the stability of steep gravity waves

DOI10.1098/rspa.1984.0122zbMath0606.76058OpenAlexW2155769346MaRDI QIDQ3745495

Michael S. Longuet-Higgins

Publication date: 1984

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1984.0122

zbMATH Keywords

stabilityinstabilitynormal modesuperharmonic perturbationsconditions for the existencepure- phase-shiftSmall perturbationssteep gravity wavestwo-dimensional steady progressive waveszero limiting frequency

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stability and instability of geophysical and astrophysical flows (76E20)

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