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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 12, Pages 2092–2097
DOI: https://doi.org/10.7868/S0044466916120164 (Mi zvmmf10498) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the stability of reverse flow vortices

O. V. Troshkin

Institute for Computer Aided Design, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466916120164
Abstract: The nonlinear stability of vortex zones of reverse flows in a plane-parallel ideal incompressible flow is proved. The zones originate at large values of a dimensionless parameter taken in the inflow part of the boundary, the so-called vorticity level. Positive or negative values of this parameter lead to a left- or right-hand oriented vortex, respectively.
Key words: two-dimensional ideal incompressible fluid, nonlinear stability of vortex zones of reverse flows.
Funding agency Grant number
Russian Science Foundation 14-11-00719
Received: 06.06.2015
Revised: 05.04.2016
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 12, Pages 2062–2067
DOI: https://doi.org/10.1134/S0965542516120149
Bibliographic databases:
Document Type: Article
UDC: 517.634
Language: Russian
Citation: O. V. Troshkin, “On the stability of reverse flow vortices”, Zh. Vychisl. Mat. Mat. Fiz., 56:12 (2016), 2092–2097; Comput. Math. Math. Phys., 56:12 (2016), 2062–2067
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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