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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2024, Volume 21, Issue 2, Pages B155–B170
DOI: https://doi.org/10.33048/semi.2024.21.B09 (Mi semr1778) 		 
Collection of papers in honor of Sergey Godunov (Editors: Yu. L. Trakhinin, M.A. Shishlenin)

Integral criteria for the dichotomy quality in boundary-layer stability problems

K. V. Demyankoab, Yu. M. Nechepurenkoab, G. V. Zaskoab

a Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Gubkin str., 8, 119333, Moscow, Russia
b Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences, Miusskaya sq., 4, 125047, Moscow, Russia
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DOI: https://doi.org/10.33048/semi.2024.21.B09
Abstract: 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.
Funding agency Grant number
Russian Science Foundation 22-11-00025
This work is supported by the Russian Science Foundation, project no. 22-11-00025
Received November 1, 2024, published December 31, 2024
Document Type: Article
UDC: 519.61
MSC: 65F99
Language: English
Citation: K. V. Demyanko, Yu. M. Nechepurenko, G. V. Zasko, “Integral criteria for the dichotomy quality in boundary-layer stability problems”, Sib. Èlektron. Mat. Izv., 21:2 (2024), B155–B170
Citation in format AMSBIB
\Bibitem{DemNecZas24}
\by K.~V.~Demyanko, Yu.~M.~Nechepurenko, G.~V.~Zasko
\paper Integral criteria for the dichotomy quality in boundary-layer stability problems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2024
\vol 21
\issue 2
\pages B155--B170
\mathnet{http://mi.mathnet.ru/semr1778}
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