Geodesic
Integral criteria for the dichotomy quality in boundary-layer stability problems
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. B155-B170 Cet article a éte moissonné depuis la source Math-Net.Ru

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This work studies the sensitivity of spectral projectors in boundary-layer spatial stability problems to uncertainties of the main flow. It is proposed to use structured integral criteria for the dichotomy quality for this purpose. The presentation is based on an example of the flow of a viscous incompressible fluid over a slightly concave surface with flow parameters favorable for the development of the Görtler vortices and Tollmien–Schlichting waves.
Keywords: spectral projectors, structured pseudospectra, structured integral criteria for the dichotomy quality, structured resolvent, spatial stability problems, boundary layer, Görtler vortices, Tollmien–Schlichting waves. 
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K. V. Demyanko; Yu. M. Nechepurenko; G. V. Zasko. Integral criteria for the dichotomy quality in boundary-layer stability problems. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. B155-B170. http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a77/

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