The calculation of eigenvalues for the stationary perturbation of Poiseuille flow using initial value methods

DOI10.1016/0022-247X(84)90056-8zbMath0598.76031OpenAlexW1989717053MaRDI QIDQ1080307

J. S. Bramley, S. C. R. Dennis

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(84)90056-8

zbMATH Keywords

eigenvaluesorthogonalizationspectral methodPoiseuille flowcomplex eigenvaluesChebyshev seriesRiccati transformationcompound matrix methodstraight channelinitial-value methodsstationary perturbation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) General topics in linear spectral theory for PDEs (35P05) Best approximation, Chebyshev systems (41A50)

Related Items

The calculation of eigenvalues for the stationary perturbation of symmetrical pipe Poiseuille flow, The decay of a swirling perturbation of pipe Poiseuille flow, The calculation of eigenvalues for the stationary perturbation of Couette-Poiseuille flow, Stationary perturbations of Couette–Poiseuille flow: the flow development in long cavities and channels, Numerical solution of eigenvalue problems for linear boundary value ODEs

Cites Work

• The calculation of eigenvalues for the stationary perturbation of Poiseuille flow
• On the computation of eigenvalues arising out of perturbations of the Blasius profile
• Eigenfunctions of systems of linear ordinary differential equations with separated boundary conditions using Riccati transformations
• The Riccati transformation method and the computation of eigenvalues of complex linear differential systems
• An initial value method for eigenvalue problems using compound matrices
• An initial value method for the eigenvalue problem for systems of ordinary differential equations
• The Numerical Solution of Linear Boundary Value Problems
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