Nonlinear dynamics of interfacial waves
type: Item
instance of: scholarly article
title: Nonlinear dynamics of interfacial waves
zbMATH Open document ID: 0575.76026
DOI: 10.1016/0167-2789(84)90515-3
author: Henry C. Yuen
published in: Physica D
publication date: 1984-01-01T00:00:00Z
review text: Results on the stability of a steady two-dimensional interfacial gravity wave of finite amplitude to infinitesimal three-dimensional disturbances in the presence of a current jump are presented. It is found that the waves are unstable, and the instability is predominantly two-dimensional for small amplitudes, but becomes predominantly three-dimensional for larger amplitudes. In addition, for sufficiently large amplitude, a new long wave instability develops due to subharmonic distortions of the eigenfunctions of the Kelvin-Helmholtz short wave instability.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76E99
zbMATH DE Number: 3920045
zbMATH Keywords: two-dimensional instability for small amplitudes
zbMATH Keywords: three-dimensional instability for large amplitudes
zbMATH Keywords: irrotational flow
zbMATH Keywords: steady two- dimensional interfacial gravity wave of finite amplitude
zbMATH Keywords: infinitesimal three-dimensional disturbances
zbMATH Keywords: current jump
zbMATH Keywords: subharmonic distortions of the eigenfunctions
zbMATH Keywords: Kelvin-Helmholtz short wave instability
MaRDI profile type: Publication
full work available at URL: 0167-2789(84)90515-3
OpenAlex ID: W2041281942
cites work: Instabilities of finite-amplitude water waves
cites work: Instabilities of finite-amplitude gravity waves on water of finite depth
cites work: Q3683727
cites work: A new type of three-dimensional deep-water wave of permanent form
cites work: Finite-amplitude interfacial waves in the presence of a current
Recommended article: Q4012815
Recommended article: Nonlinear interfacial waves in streaming flows
Recommended article: Nonlinear interfacial wave formation in three dimensions
Recommended article: Q4464959
Recommended article: Nonlinear evolution and breaking of interfacial Rayleigh–Taylor waves
Recommended article: Nonlinear wave interactions
Recommended article: Nonlinear dynamics induced by linear wave interactions in multilayered flows
Recommended article: Nonlinear responses from the interaction of two progressing waves at an interface
Recommended article: Q4783602
Recommended article: Q4697952
description: scientific article; zbMATH DE number 3920045