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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 5, Pages 960–969 (Mi zvmmf9723)  
This article is cited in 1 scientific paper (total in 1 paper)

Possibility of explaining the existence of vortexlike hydrodynamic structures based on the theory of stationary kinetic equations

O. M. Belotserkovskiia, N. N. Fiminb, V. M. Chechetkinb

a Institute for Computer-Aided Design, Russian Academy of Sciences, ul. Vtoraya Brestskaya 19/18, Moscow, 123056 Russia
b Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047 Russia
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Abstract: The possibility of describing vortex structures in quasi-one-dimensional plane flows by applying kinetic equations and bifurcation theory is examined. The Lyapunov-Schmidt method is used to obtain a system of Riccati-type generalized bifurcation equations. An analysis of its properties leads to conditions for the existence of vortex structures.
Key words: mathematical simulation, vortex structures, large-scale turbulence, Boltzmann equation, bifurcation of solutions, Lyapunov–Schmidt system of equations.
Received: 05.04.2011
Revised: 14.11.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 5, Pages 815–824
DOI: https://doi.org/10.1134/S096554251205003X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: O. M. Belotserkovskii, N. N. Fimin, V. M. Chechetkin, “Possibility of explaining the existence of vortexlike hydrodynamic structures based on the theory of stationary kinetic equations”, Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012), 960–969; Comput. Math. Math. Phys., 52:5 (2012), 815–824
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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