An invariant finite-dimensional approximation to the Navier-Stokes equations and self-excited oscillatory modes of Poiseuille flow

DOI10.1016/0021-8928(90)90136-XzbMath0739.76018OpenAlexW2102314058MaRDI QIDQ1180894

B. Yu. Skobelev

Publication date: 27 June 1992

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(90)90136-x

zbMATH Keywords

amplitude equationfinite-dimensional projectioninvariant attractive manifoldsnonlinear quasiperiodic perturbationsstochastic modes

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Hydrodynamic stability (76E99) Stability theory for smooth dynamical systems (37C75)

Related Items (1)

Stability analysis of difference schemes by catastrophe theory methods

Cites Work

• Subcritical autooscillations and nonlinear neutral curve for Poiseuille flow
• Bifurcation of a periodic solution of the Navier-Stokes equations into an invariant torus
• Bifurcating time periodic solutions and their stability
• Existence et stabilité de la solution périodique secondaire intervenant dans les problèmes d'évolution du type Navier-Stokes
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow
• Subcritical bifurcation of plane Poiseuille flow
• Finite-amplitude instability of parallel shear flows
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