Spectral analysis of small perturbations of geostrophic currents with a parabolic vertical profile of velocity as applied to the ocean

DOI10.1134/S0965542521120137zbMath1496.76163OpenAlexW4206183785MaRDI QIDQ2066325

N. P. Kuzmina, S. L. Skorokhodov

Publication date: 14 January 2022

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

Full work available at URL: https://doi.org/10.1134/s0965542521120137

zbMATH Keywords

asymptotic expansionpotential vorticity equationparameter continuation methodPoiseuille-Couette flowspectral non-self-adjoint problem

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Geophysical flows (76U60)

Related Items (1)

Analytical-numerical method for analyzing small perturbations of geostrophic ocean currents with a general parabolic vertical profile of velocity

Cites Work

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• Branch points of eigenvalues of the Orr-Sommerfeld operator
• Analytical-numerical method for solving an Orr-Sommerfeld-type problem for analysis of instability of ocean currents
• Spectral analysis of model Couette flows in application to the ocean
• Numerical analysis of the spectrum of the Orr-Sommerfeld problem

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