Stability of finite-amplitude interfacial waves. Part 3. The effect of basic current shear for one-dimensional instabilities

DOI10.1017/S002211208600174XzbMath0642.76056MaRDI QIDQ3783717

R. H. J. Grimshaw, D. I. Pullin

Publication date: 1986

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

zbMATH Keywords

Boussinesq approximationeigenvalue problemlinearized stability problembasic current shearinterfacial progressive waveslocal wave-induced Kelvin-Helmholtz instabilitylong-wavelength modulational instability of small-amplitude waveslow-order resonancestwo-layer inviscid fluidtwo-space-dimensional instabilities

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05) Basic methods in fluid mechanics (76M99)

Related Items

Nonlinear travelling internal waves with piecewise-linear shear profiles, A stability analysis for interfacial waves using a Zakharov equation, Shallow waves in density stratified shear currents, A fourth-order evolution equation for deep water surface gravity waves in the presence of wind blowing over water, Stability analysis from higher order nonlinear Schrödinger equation for interfacial capillary-gravity waves, A second-order solution for the solitary wave in a rotational flow, Stability of capillary–gravity interfacial waves between two bounded fluids, Particle paths in nonlinear Schrödinger models in the presence of linear shear currents, Instability and filamentation of finite-amplitude waves on vortex layers of finite thickness, Nonlinear surface waves interacting with a linear shear current

Cites Work

• Nonlinear interfacial progressive waves near a boundary in a Boussinesq fluid
• Shear-flow instability at the interface between two viscous fluids
• On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions
• Interfacial progressive gravity waves in a two-layer shear flow
• 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
• Stability of finite-amplitude interfacial waves. Part 1. Modulational instability for small-amplitude waves
• The Propagation of Nonlinear Wave Envelopes
• A criterion for nonlinear wave stability
• Non-linear gravity wave interactions