Derivation of amplitude equations and analysis of sideband instabilities in two-layer flows

DOI10.1063/1.858737zbMath0799.76023OpenAlexW1979711249MaRDI QIDQ4282434

Michael Renardy, Yuriko Yamamuro Renardy

Publication date: 14 November 1994

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858737

zbMATH Keywords

Ginzburg-Landau equationsCouette-Poiseuille flowtraveling-wave solutionssmall-amplitude long wavespressure disturbance

Mathematics Subject Classification ID

Reaction effects in flows (76V05) Parallel shear flows in hydrodynamic stability (76E05)

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Cites Work

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• Weakly nonlinear behavior of periodic disturbances in two-layer Couette–Poiseuille flow
• Spiral Waves in Reaction-Diffusion Equations
• On the nonlinear evolution of three-dimensional disturbances in plane Poiseuille flow
• Finite amplitude side-band stability of a viscous film
• The disintegration of wave trains on deep water Part 1. Theory
• Instability due to viscosity stratification
• Wave Instabilities

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