Bifurcation of the stationary Ekman flow into a stable periodic flow

DOI10.1007/BF00247741zbMath0395.76045MaRDI QIDQ1253159

Hans Bruun Nielsen, Hans True, Gérard Iooss

Publication date: 1978

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

StabilityBifurcationBoundary LayerGalerkin ApproachNumerical CalculationStability CharacteristicsSteady Flow

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) General theory of rotating fluids (76U05) Bifurcations in context of PDEs (35B32) Stability and instability of geophysical and astrophysical flows (76E20) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (10)

The influence of the horizontal component of Earth's angular velocity on the instability of the Ekman layer ⋮ Laguerre collocation solutions to boundary layer type problems ⋮ Hydrodynamic stability of the Ekman boundary layer including interaction with a compliant surface: A numerical framework. ⋮ Spatio—temporal behaviour in a rotating annulus with a source—sink flow ⋮ An algorithmic approach to the linear stability of the Ekman layer ⋮ Instability and transition of disturbed flow over a rotating disk ⋮ Influence of the geostrophic wind direction on the atmospheric boundary layer flow ⋮ A Hopf bifurcation in the planar Navier-Stokes equations ⋮ Flow stability in the Ekman layer on a permeable surface ⋮ Linear instability implies nonlinear instability for various types of viscous boundary layers.

Cites Work

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• An experimental study of the instability of the laminar Ekman boundary layer
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• On the stability of three-dimensional boundary layers with application to the flow due to a rotating disk

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