On parametric instabilities of finite-amplitude internal gravity waves

DOI10.1017/S0022112082001396zbMath0502.76037OpenAlexW2042327531MaRDI QIDQ3968619

J. Klostermeyer

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1017/s0022112082001396

zbMATH Keywords

truncated Fourier seriesBoussinesq fluidconstant Brunt- Vaeisaelae frequencyeigenvalues of stability matrixplane periodic finite amplitude waveunstable growth rates

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Internal waves for incompressible inviscid fluids (76B55) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items

Instabilities in internal gravity waves ⋮ Short-wavelength instabilities in a finite-amplitude plane inertial wave ⋮ Higher-order resonant instabilities of internal gravity waves ⋮ Three-dimensional small-scale instabilities of plane internal gravity waves ⋮ Principal instabilities of large amplitude inertio-gravity waves ⋮ On the role of optimal perturbations in the instability of monochromatic gravity waves ⋮ Parametric instabilities of internal gravity waves in boussinesq fluids with large reynolds numbers ⋮ Direct numerical simulation of a breaking inertia–gravity wave ⋮ Short-wavelength instabilities of waves in rotating stratified fluids ⋮ Instability and breakdown of internal gravity waves. I. Linear stability analysis ⋮ The distortion of short internal waves produced by a long wave, with application to ocean boundary mixing ⋮ Energy and entropy evolution of interacting internal gravity waves and turbulence

Cites Work

• Parametric instability of internal gravity waves
• The occurrence of parametric instabilities in finite-amplitude internal gravity waves
• The instabilities of finite-amplitude barotropic Rossby waves
• A criterion for nonlinear wave stability