Nonlinear dynamics of interfacial waves

DOI10.1016/0167-2789(84)90515-3zbMath0575.76026OpenAlexW2041281942MaRDI QIDQ1064203

Henry C. Yuen

Publication date: 1984

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(84)90515-3

zbMATH Keywords

irrotational flowcurrent jumpinfinitesimal three-dimensional disturbancesKelvin-Helmholtz short wave instabilitysteady two- dimensional interfacial gravity wave of finite amplitudesubharmonic distortions of the eigenfunctionsthree-dimensional instability for large amplitudestwo-dimensional instability for small amplitudes

Mathematics Subject Classification ID

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

Related Items

Two-dimensional stability analysis of finite-amplitude interfacial gravity waves in a two-layer fluid ⋮ Benjamin-Feir instability in nonlinear dispersive waves ⋮ A fourth-order evolution equation for deep water surface gravity waves in the presence of wind blowing over water ⋮ Geometric Aspects of Spatially Periodic Interfacial Waves ⋮ Stability analysis from higher order nonlinear Schrödinger equation for interfacial capillary-gravity waves ⋮ Nonlinear dynamics of magnetic fluids with a relative motion in the presence of an oblique magnetic field ⋮ Stability of resonant interfacial waves in the presence of uniform magnetic field

Cites Work

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• A new type of three-dimensional deep-water wave of permanent form
• Instabilities of finite-amplitude water waves
• Instabilities of finite-amplitude gravity waves on water of finite depth
• Finite-amplitude interfacial waves in the presence of a current