On the subharmonic instabilities of steady three-dimensional deep water waves

DOI10.1017/S0022112094000509zbMath0804.76013MaRDI QIDQ4304625

Kharif, Christian, Mansour Ioualalen

Publication date: 31 August 1994

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

linear stabilityshort-crested wavessideband-type instabilitiesthree-dimensional progressive gravity wavestwo-dimensional progressive gravity waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hydrodynamic stability (76E99)

Related Items (8)

The nonlinear Benjamin–Feir instability – Hamiltonian dynamics, discrete breathers and steady solutions ⋮ Third-order theory for multi-directional irregular waves ⋮ Instability of waves in deep water -- a discrete Hamiltonian approach ⋮ On elementary four-wave interactions in dispersive media ⋮ On stability of generalized short-crested water waves ⋮ Instabilities of steep short-crested surface waves in deep water ⋮ Finite-amplitude steady-state wave groups with multiple near-resonances in finite water depth ⋮ Stability of bichromatic gravity waves on deep water

Cites Work

• The calculation of nonlinear short-crested gravity waves
• Stability of water waves
• The instabilities of gravity waves of finite amplitude in deep water I. Superharmonics
• The instabilities of gravity waves of finite amplitude in deep water II. Subharmonics
• Standing waves in deep water: Their stability and extreme form

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