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Polynomial method for constructing equilibrium configurations of point vortices in a plane

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Abstract

The problem of constructing and classifying stationary and translating configurations of point vortices with an arbitrary choice of circulations is studied. The polynomial method enabling one to find any such configuration is described in detail. Stationary configurations for vortex systems with circulations Γ, −μΓ are classified in the case of integer μ. New configurations are obtained.

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Authors and Affiliations

  1. National Research Nuclear University MEPhI, Moscow, 115409, Russia

    M. V. Demina & N. A. Kudryashov

Authors
  1. M. V. Demina
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  2. N. A. Kudryashov
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Correspondence to M. V. Demina.

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Original Russian Text © M.V. Demina, N.A. Kudryashov, 2012, published in Modelirovanie i Analiz Informatsionnykh Sistem, 2012, No. 5, pp. 50–55.

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Demina, M.V., Kudryashov, N.A. Polynomial method for constructing equilibrium configurations of point vortices in a plane. Aut. Control Comp. Sci. 47, 545–548 (2013). https://doi.org/10.3103/S014641161307002X

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  • DOI: https://doi.org/10.3103/S014641161307002X

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