Benjamin-Feir and Eckhaus instabilities with Galilean invariance: The case of interfacial waves in viscous shear flows
type: Item
instance of: scholarly article
title: Benjamin-Feir and Eckhaus instabilities with Galilean invariance: The case of interfacial waves in viscous shear flows
zbMATH Open document ID: 0947.76024
DOI: 10.1016/S0997-7546(98)80049-6
published in: European Journal of Mechanics. B. Fluids
publication date: 1999-06-29T00:00:00Z
Mathematics Subject Classification ID: 76E17
Mathematics Subject Classification ID: 76D33
zbMATH DE Number: 1282891
zbMATH Keywords: translational invariance
zbMATH Keywords: Galilean invariance
zbMATH Keywords: two-layer Couette-Poiseuille flow
zbMATH Keywords: eigenvalues
zbMATH Keywords: interfacial waves
zbMATH Keywords: two-layer viscous shear flow
zbMATH Keywords: complex Ginzburg-Landau equation
zbMATH Keywords: travelling wave
zbMATH Keywords: Burgers-type equation
zbMATH Keywords: linear stability
zbMATH Keywords: Lange-Newell criterion
zbMATH Keywords: Benjamin-Feir instability
zbMATH Keywords: coupling
zbMATH Keywords: Eckhaus instability
author: Pierre Barthelet
author: F. Charru
MaRDI profile type: Publication
cites work: Q4343209
cites work: Q5532416
cites work: The disintegration of wave trains on deep water Part 1. Theory
cites work: The Propagation of Nonlinear Wave Envelopes
cites work: Long waves at the interface between two viscous fluids
cites work: Long-wave instability at the interface between two viscous fluids: Thin layer effects
cites work: Nonlinear instability at the interface between two viscous fluids
cites work: The Eckhaus instability for traveling waves
cites work: A Stability Criterion for Envelope Equations
cites work: Derivation of amplitude equations and analysis of sideband instabilities in two-layer flows
cites work: Instability at the interface between two shearing fluids in a channel
cites work: Q4151274
cites work: Instability due to viscosity stratification
cites work: Stability of finite-amplitude convection
description: scientific article; zbMATH DE number 1282891