Analytical-numerical method for solving an Orr-Sommerfeld-type problem for analysis of instability of ocean currents

DOI10.1134/S0965542518060143zbMath1403.34065OpenAlexW2874938473WikidataQ129565052 ScholiaQ129565052MaRDI QIDQ1785074

S. L. Skorokhodov, N. P. Kuzmina

Publication date: 27 September 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518060143

zbMATH Keywords

Newton's methodasymptotic expansionsspectral problempower series expansionsWronskian of a system

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (6)

Difference melt model ⋮ Analytical-numerical method for analyzing small perturbations of geostrophic ocean currents with a general parabolic vertical profile of velocity ⋮ On the influence of the beta effect on the spectral characteristics of unstable perturbations of ocean currents ⋮ Spectral analysis of small perturbations of geostrophic currents with a parabolic vertical profile of velocity as applied to the ocean ⋮ Spectral analysis of model Couette flows in application to the ocean ⋮ The unique solvability of stationary and non-stationary incompressible melt models in the case of their linearization

Cites Work

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• Spectral portraits of the Orr-Sommerfeld operator with large Reynolds numbers
• Branch points of eigenvalues of the Orr-Sommerfeld operator
• Pseudospectra of Linear Operators
• Eigenvalues of Non-selfadjoint Operators: A Comparison of Two Approaches
• Pseudospectra of the Orr–Sommerfeld Operator
• Accurate solution of the Orr–Sommerfeld stability equation

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