Maxim Budyansky
Publications:
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Udalov A. A., Uleysky M. Y., Budyansky M. V.
Analysis of Stationary Points and Bifurcations of a Dynamically Consistent Model of a Two-dimensional Meandering Jet
2023, Vol. 19, no. 1, pp. 49-58
Abstract
A dynamically consistent model of a meandering jet stream with two Rossby waves obtained
using the law of conservation of potential vorticity is investigated. Stationary points are found in
the phase space of advection equations and the type of their stability is determined analytically.
All topologically different flow regimes and their bifurcations are found for the stationary model
(taking into account only the first Rossby wave). The results can be used in the study of
Lagrangian transport, mixing, and chaotic advection in problems of cross-frontal transport in
geophysical flows with meandering jets.
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