Nonlinear stability analysis of plane Poiseuille flow by normal forms
DOI10.1016/0167-2789(95)00194-9zbMath0836.35125arXivcomp-gas/9502001OpenAlexW3102345392MaRDI QIDQ1904606
Publication date: 1 February 1996
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/comp-gas/9502001
boundary conditionscritical amplitudeeigenfunctions of the Orr-Sommerfeld equationLandau methodNavier-Stokes equations of the two-dimensional plane Poiseuille flow
Nonlinear effects in hydrodynamic stability (76E30) Navier-Stokes equations (35Q30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (2)
Cites Work
- Decoupling of dissipative flows by interval normal forms in the Poincaré domain
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Application of normal forms to the Lorenz model in the subcritical region
- Applications of centre manifold theory
- A matrix method for ordinary differential eigenvalue problems
- 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
- On the stability of plane Poiseuille flow to finite-amplitude disturbances, considering the higher-order Landau coefficients
- On perturbation methods in nonlinear stability theory
- Finite-amplitude bifurcations in plane Poiseuille flow: two-dimensional Hopf bifurcation
- Accurate solution of the Orr–Sommerfeld stability equation
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