Geodesic
Possibility of explaining the existence of vortexlike hydrodynamic structures based on the theory of stationary kinetic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 960-969

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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. 
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     title = {Possibility of explaining the existence of vortexlike hydrodynamic structures based on the theory of stationary kinetic equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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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. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 960-969. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a16/