|
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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf9723 https://www.mathnet.ru/eng/zvmmf/v52/i5/p960
|
Statistics & downloads: |
Abstract page: | 383 | Full-text PDF : | 124 | References: | 52 | First page: | 20 |
|