On a model problem for the Orr-Sommerfeld equation with linear profile

DOI10.1023/A:1020158323673zbMath1036.34094arXivmath/0212127OpenAlexW29270294MaRDI QIDQ1812439

A. V. Dyachenko, A. A. Shkalikov

Publication date: 2002

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212127

zbMATH Keywords

ordinary differential equationasymptotics of eigenvalueshydrodynamicsAiry equationOrr-Sommerfeld problemlarge Reynolds number limit

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Parallel shear flows in hydrodynamic stability (76E05) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (6)

Spectral properties of the complex Airy operator on the half-line ⋮ Localization criterion for the spectrum of the Sturm–Liouville operator on a curve ⋮ Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators ⋮ A quasiclassical limit of the spectrum of a Schrödinger operator with complex periodic potential ⋮ Hydrodynamic fluctuations in laminar fluid flow. I: Fluctuating Orr-Sommerfeld equation ⋮ MHD α2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator

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