The Ginzburg–Landau equation for interfacial instabilities

DOI10.1063/1.858436zbMath0762.76029OpenAlexW2001954600MaRDI QIDQ4024132

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Publication date: 25 February 1993

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

Full work available at URL: https://doi.org/10.1063/1.858436

zbMATH Keywords

Poiseuille flowcompliant wallsmultiple scales analysishomogeneous adjoint problemcoherent methodinhomogeneous solvability criteria

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (4)

Asymptotically exact Zakharov equations and the stability of water waves with bimodal spectra ⋮ Selection of the divergence waves on a model viscoelastic coating under a potential flow ⋮ Parallelization of perturbation analysis: Application to large-scale engineering problems ⋮ Stability and the transition to turbulence in the flow through conduits with compliant walls

Cites Work

• Spatial structure of time-periodic solutions of the Ginzburg-Landau equation
• Application of the singular value decomposition to the numerical computation of the coefficients of amplitude equations and normal forms
• Solutions of the Ginzburg-Landau Equation of Interest in Shear Flow Transition
• Theory and predictions for finite-amplitude waves in two-dimensional plane Poiseuille flow
• Effect of Compliant Boundaries on Weakly Nonlinear Shear Waves in Channel Flow
• The dynamics of waves at the interface between a viscoelastic coating and a fluid flow
• Hopf Bifurcation in Two-Component Flow
• The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 2. Flow-induced surface instabilities
• The long-wave instability of a defect in a uniform parallel shear
• On the stability of laminar boundary-layer flow over a flat plate with a compliant surface
• Sideband damping of water waves over a soft bed
• On the nonlinear evolution of three-dimensional disturbances in plane Poiseuille flow
• A non-linear instability theory for a wave system in plane Poiseuille flow
• The threefold classification of unstable disturbances in flexible surfaces bounding inviscid flows

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