Eigenvalues of the Orr-Sommerfeld equation in an unbounded domain

DOI10.1007/BF00251509zbMath0519.76037MaRDI QIDQ1054559

Milan Miklavčič

Publication date: 1983

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

unbounded domainfinitely many eigenvaluesgeneralized Orr-Sommerfeld equationproperties and bounds for eigenvalues

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Partial differential equations of mathematical physics and other areas of application (35Q99) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (3)

A spectral Galerkin approximation of the Orr-Sommerfeld eigenvalue problem in a semi-infinite domain ⋮ The Modulation Equations for the Asymptotic Suction Velocity Profile and the Ekman Boundary Layer ⋮ A Model Equation Illustrating Subcritical Instability to Long Waves in Shear Flows

Cites Work

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• Stability of mean flows over an infinite flat plate
• Wave operators and similarity for some non-selfadjoint operators
• The continuous spectrum of the Orr-Sommerfeld equation. Part 2. Eigenfunction expansions
• A numerical study of the temporal eigenvalue spectrum of the Blasius boundary layer
• Initial-value problem for boundary layer flows
• Eigenvalue bounds for the Orr-Sommerfeld equation

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