Initiation of self-oscillations at loss of stability of spatially-periodic, three-dimensional viscous flows with respect to long-wave perturbations

DOI10.1023/A:1019225815875zbMath1101.76328OpenAlexW276385465MaRDI QIDQ5947728

Publication date: 2001

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

Full work available at URL: https://doi.org/10.1023/a:1019225815875

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (7)

Stability of the Kolmogorov flow and its modifications ⋮ Recurrence formulas for long wavelength asymptotics in the problem of shear flow stability ⋮ Onset of self-oscillations upon the loss of stability of spatially periodic two-dimensional viscous fluid flows relative to long-wave perturbations ⋮ Bifurcations in a Rayleigh reaction-diffusion system ⋮ The Onset of Auto-Oscillations in Rayleigh System with Diffusion ⋮ Long Wavelength Asymptotics of Self-Oscillations of Viscous Incompressible Fluid ⋮ Numerical Bifurcation Analysis in 3D Kolmogorov Flow Problem

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