Hopf Bifurcation in Two-Component Flow

DOI10.1137/0517064zbMath0605.76052OpenAlexW2085992822MaRDI QIDQ3742959

Michael Renardy, Daniel D. Joseph

Publication date: 1986

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0517064

zbMATH Keywords

linearized problemparallel platestwo-dimensional flowHopf type bifurcationbifurcating solutionnonzero surface tensiontime- periodic solutiontravelling interfacial wavesviscosity-stratified two-component parallel flow

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Navier-Stokes equations (35Q30) Reaction effects in flows (76V05) Parallel shear flows in hydrodynamic stability (76E05) Bifurcations in context of PDEs (35B32)

Related Items (5)

Bifurcating solutions at the onset of convection in the Bénard problem for two fluids ⋮ The Ginzburg–Landau equation for interfacial instabilities ⋮ Global solution of two-layer Navier-Stokes flow ⋮ Weakly nonlinear behavior of periodic disturbances in two-layer Couette–Poiseuille flow ⋮ Lubricated pipelining: stability of core-annular flow

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