Loss of stability and bifurcation of auto-oscillatory regimes close to Poiseuille flow

DOI10.1007/BF01050138zbMath0738.76021MaRDI QIDQ1183858

Victor P. Varin, Andrei L. Afendikov

Publication date: 28 June 1992

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

bifurcationLyapunov-Schmidt methodPoiseuille flowneutral stabilityLyapunov exponentfold singularityviscous incompressible liquidstable time- periodic solution

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Parallel shear flows in hydrodynamic stability (76E05) Bifurcations in context of PDEs (35B32)

Cites Work

• Unnamed Item
• Subcritical autooscillations and nonlinear neutral curve for Poiseuille flow
• Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations
• Bifurcating time periodic solutions and their stability
• The onset of auto-oscillations in a fluid
• Nonlinear cellular motions in Poiseuille channel flow
• Subcritical bifurcation of plane Poiseuille flow

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