Michael Uleysky

    Pacific Oceanological Institute


    Udalov A. A., Uleysky M. Y., Budyansky M. V.
    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.
    Keywords: stationary points, separatrices reconnection, jet flow
    Citation: 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, Rus. J. Nonlin. Dyn., 2023, Vol. 19, no. 1, pp.  49-58
    Budyansky M. V., Prants S. V., Uleysky M. Y.
    Chaotic advection in a meandering jet flow
    2006, Vol. 2, No. 2, pp.  165-180
    The paper studies the transport, mixing and chaotic advection of passive scalars in a meandering jet flow with a periodic perturbation. The stability of the critical points has been performed. We have found all topologically different regimes of the flow along with their bifurcations. It is shown that the process of mixing of passive scalars exhibits fractal-like patterns. There are some geometric regularities in the relationship between 1) the initial coordinates of scalars and 2) the number of rotations of particles around elliptic points and their escape time from a particular domain in the phase-space. It is shown how these regularities manifest in the evolution of a material line. The results obtained may be used in modelling Lagrangian transport and mixing of water masses with different characteristics in meandering western boundary currents such as the Kuroshio and the Gulf Stream.
    Keywords: chaotic advection, bifurcation, fractal, meander
    Citation: Budyansky M. V., Prants S. V., Uleysky M. Y.,  Chaotic advection in a meandering jet flow, Rus. J. Nonlin. Dyn., 2006, Vol. 2, No. 2, pp.  165-180

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