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    Mikhail Sokolovskiy

    Mikhail Sokolovskiy
    ul. Gubkina 3, 119333 Moscow, Russia
    Institute of Water Problems of the RAS

    Bibliometric IDs:

    Principal Researcher (PhD, Doctor of Science (Habilitation))

    Born: June 16, 1950, Djezkazganskiy Region, Kazakhstan


    1973: M.V. Lomonosov Moscow State University, Department of Mechanics and Mathematics (B.Sc. and M.Sc.)
    1983: Candidate of Science in physics and mathematics (Ph.D.), thesis title: “Bottom relief interaction on the zonal oceanic flows”, Pacific Oceanological Institute of Far East Branch of Russian Academy of Sciences, Vladivostok
    2009: Doctor of Science in physics and mathematics, thesis title: “Dynamics of vortex structures in two-layer model of ocean”, P.P. Shirshov Institute of Oceanology of Russian Academy of Sciences, Moscow

    Positions held:

    1973-1994: Junior Scientist, Scientist, Senior Scientist of Pacific Oceanological Institute, Far East Branch of Russian Academy of Sciences, Vladivostok
    1994-present: Senior Scientist, Leading Scientist, Principal Scientist of Water Problems Institute of Russian Academy of Sciences, Moscow
    Since 2015: Leading Scientist of P.P. Shirshov Institute of Oceanology of Russian Academy of Sciences, Moscow (off-hour job)


    Member of EUROMECH from 2013
    Member of American Meteorological Society from 2016
    Member of editorial board of scientific journals:
    Regular and Chaotic Dynamics (2004-2011)
    Russian Journal of Nonlinear Dynamics (2005-2011)
    Guest editor of Mathematics: Special Issue "Vortex Dynamics: Theory and Application to Geophysical Flows" (2019-2020)


    2010: Letter of Commendation of Russian Academy of Sciences
    2011: The Prize of Japan Society of Fluid Mechanics for the paper М.A. Sokolovskiy and X. Carton. Baroclinic multipole formation from heton interaction. Fluid Dynamics Research, 2010, v. 42, 045501

    International Grants:

    INTAS, No 94-3614 (1994-1996)
    INTAS-AIRBUS, No 04-80-7297 (2004-2006)
    RFBR/CNRS, No 07-05-92210 (2005-2007)
    RFBR/CRDF, No 09-01-92504/RUM1-2943-R0-09 (2009-2010)
    RFBR/PICS, No 11-05-91052 (2011-2013)
    RFBR/CNRS, No 16-55-150001 (2016-2018)
    Ministry of Education and Science of the RF, No 14.W03.31.0006 (2017-2021)
    RFBR/LRS, No 20-55-10001 (2019-2021)


    Sokolovskiy M. A., Verron J.
    The paper explores the properties of motion of $A+1$ point vortices with $A$ planes of symmetry immersed into a two-layer fluid. The central vortex is supposed to be in the upper layer while the other $A$ vortices have equal intensity and form a regular $A$-gon configuration in the lower layer. For $A\geqslant2$, we study possible stationary motions. For $A=2$, using methods of qualitative analysis, we classify the motions of this vortical structure and obtain preliminary numerical results concerned with stability of symmetrical configurations.
    Keywords: two-layer fluid, point vortex, vortex structures, choreography, phase portrait
    Citation: Sokolovskiy M. A., Verron J.,  Some properties of motion of $A+1$ vortices in a two-layer rotating fluid, Rus. J. Nonlin. Dyn., 2006, Vol. 2, No. 1, pp. 27-54

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