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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 8, Pages 1331–1346
DOI: https://doi.org/10.7868/S0044466917080130 (Mi zvmmf10603) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Stability theory for a two-dimensional channel

O. V. Troshkinab

a Institute for Computer Aided Design, Russian Academy of Sciences, Moscow, Russia
b Scientific Research Institute of System Analysis, Federal Research Center, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466917080130
Abstract: A scheme for deriving conditions for the nonlinear stability of an ideal or viscous incompressible steady flow in a two-dimensional channel that is periodic in one direction is described. A lower bound for the main factor ensuring the stability of the Reynolds–Kolmogorov sinusoidal flow with no-slip conditions (short wavelength stability) is improved. A condition for the stability of a vortex strip modeling Richtmyer–Meshkov fluid vortices (long wavelength stability) is presented.
Key words: ideal or viscous incompressible fluid, Reynolds–Kolmogorov flow, short wavelength stability, Richtmyer–Meshkov vortices, long wavelength stability.
Funding agency Grant number
Russian Science Foundation 14-11-00719
Received: 30.11.2015
Revised: 21.03.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 8, Pages 1320–1334
DOI: https://doi.org/10.1134/S0965542517080115
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: O. V. Troshkin, “Stability theory for a two-dimensional channel”, Zh. Vychisl. Mat. Mat. Fiz., 57:8 (2017), 1331–1346; Comput. Math. Math. Phys., 57:8 (2017), 1320–1334
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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