Benjamin-Feir and Eckhaus instabilities with Galilean invariance: The case of interfacial waves in viscous shear flows

DOI10.1016/S0997-7546(98)80049-6zbMath0947.76024MaRDI QIDQ1285905

François Charru, Pierre Barthelet

Publication date: 29 June 1999

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

zbMATH Keywords

linear stabilityeigenvaluescouplingtravelling waveBurgers-type equationGalilean invariancecomplex Ginzburg-Landau equationEckhaus instabilityinterfacial wavesBenjamin-Feir instabilitytranslational invarianceLange-Newell criteriontwo-layer Couette-Poiseuille flowtwo-layer viscous shear flow

Mathematics Subject Classification ID

Interfacial stability and instability in hydrodynamic stability (76E17) Waves for incompressible viscous fluids (76D33)

Related Items (4)

Secondary instabilities of interfacial waves due to coupling with a long wave mode in a two-layer Couette flow ⋮ Traveling and spiral waves for sequential flames with translation symmetry: coupled CGL-Burgers equations ⋮ Coupled KS-CGL and coupled Burgers-CGL equations for flames governed by a sequential reaction ⋮ Weakly nonlinear versus semi-linear models of the nonlinear evolution of the centrifugal instability

Cites Work

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• Long waves at the interface between two viscous fluids
• The disintegration of wave trains on deep water Part 1. Theory
• Instability due to viscosity stratification
• The Propagation of Nonlinear Wave Envelopes

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