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

O. M. Belotserkovskii   ; N. N. Fimin   ; V. M. Chechetkin

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 960-969

Résumé

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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