Uniform Asymptotic Approximations to the Solutions of the Orr-Sommerfeld Equation Part 2. The General Theory

DOI10.1002/sapm1974533217zbMath0408.76020OpenAlexW2219519785MaRDI QIDQ4196102

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/sapm1974533217

zbMATH Keywords

UniformOrr-Sommerfeld EquationAsymptotic ApproximationsMatched Asymptotic Expansions

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 (5)

Asymptotic analysis for singularly perturbed convection-diffusion equations with a turning point ⋮ Singularly perturbed problems with a turning point: The non-compatible case ⋮ Uniform asymptotic solutions of the orr–sommerfeld equation ⋮ On singular ordinary linear differential operators related to Orr- Sommerfeld stability equation ⋮ Recent progresses in boundary layer theory

Cites Work

• Uniform Asymptotic Approximations to the Solutions of the Orr-Sommerfeld Equation. Part 1. Plane Couette Flow
• Composite Approximations to the Solutions of the Orr‐Sommerfeld Equation
• Über die äußere und innere Reibungsschicht bei Störungen laminarer Strömungen

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