Uniform Asymptotic Approximations to the Solutions of the Orr-Sommerfeld Equation. Part 1. Plane Couette Flow

DOI10.1002/sapm197453291zbMath0339.76027OpenAlexW2273118859MaRDI QIDQ4108060

W. H. Reid

Publication date: 1974

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm197453291

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Parallel shear flows in hydrodynamic stability (76E05)

Related Items

Symmetry analysis in linear hydrodynamic stability theory: Classical and new modes in linear shear, Asymptotic analysis for singularly perturbed convection-diffusion equations with a turning point, On the optimal systems of subalgebras for the equations of hydrodynamic stability analysis of smooth shear flows and their group-invariant solutions, On the spectral problem for boundary-layer flows, Singularly perturbed problems with a turning point: The non-compatible case, On the stability of stratified viscous plane Couette flow. Part 1. Constant buoyancy frequency, Nonlinear instability of viscous plane Couette flow Part 1. Analytical approach to a necessary condition, An Exact Solution of the Orr-Sommerfeld Equation for Plane Couette Flow, Uniform Asymptotic Approximations to the Solutions of the Orr-Sommerfeld Equation Part 2. The General Theory, Recent progresses in boundary layer theory

Cites Work

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