Spectral portraits of the Orr-Sommerfeld operator with large Reynolds numbers
From MaRDI portal
Publication:556792
DOI10.1023/B:JOTH.0000047362.09147.c7zbMath1074.76018arXivmath-ph/0304030MaRDI QIDQ556792
Publication date: 23 June 2005
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0304030
Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Parallel shear flows in hydrodynamic stability (76E05)
Related Items (19)
The limit spectral graph in semiclassical approximation for the Sturm-Liouville problem with complex polynomial potential ⋮ Spectral properties of the complex Airy operator on the half-line ⋮ On localization of the spectrum of non-self-adjoint differential operators ⋮ Localization criterion for the spectrum of the Sturm–Liouville operator on a curve ⋮ The resistive state in a superconducting wire: Bifurcation from the normal state ⋮ Averaging and spectral properties for the 2D advection-diffusion equation in the semi-classical limit for vanishing diffusivity ⋮ Nonlinear correction to Darcy's law for channels with wavy walls ⋮ Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators ⋮ Complex WKB method (one-dimensional linear problems on the complex plane) ⋮ Eigenvalue dynamics of a \(\mathcal{PT}\)-symmetric Sturm-Liouville operator and criteria for similarity to a self-adjoint or a normal operator ⋮ Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field ⋮ Subelliptic resolvent estimates for non-self-adjoint semiclassical Schrödinger operators ⋮ Analytical-numerical method for solving an Orr-Sommerfeld-type problem for analysis of instability of ocean currents ⋮ Andrei Andreevich Shkalikov (on his seventieth birthday) ⋮ Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media ⋮ On the stability of laminar flows between plates ⋮ Spectral Analysis of a Complex Schrödinger Operator in the Semiclassical Limit ⋮ On localization conditions for spectrum of model operator for Orr - Sommerfeld equation ⋮ Spectral analysis of model Couette flows in application to the ocean
This page was built for publication: Spectral portraits of the Orr-Sommerfeld operator with large Reynolds numbers
