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Model. Anal. Inform. Sist., 2012, Volume 19, Number 5, Pages 50–55 (Mi mais260)  

This article is cited in 1 scientific paper (total in 1 paper)

Polynomial Method for Constructing Equilibrium Configurations of Point Vortices in the Plane

M. V. Demina, N. A. Kudryashov

National Engineering Physics Institute "MEPhI"

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 $\Gamma$, $-\mu\Gamma$ are classified in the case of integer $\mu$. New configurations are obtained.

Keywords: point vortices, stationary configurations, translating configurations.

Full text: PDF file (288 kB)
References: PDF file   HTML file
UDC: 517.9
Received: 12.09.2012

Citation: M. V. Demina, N. A. Kudryashov, “Polynomial Method for Constructing Equilibrium Configurations of Point Vortices in the Plane”, Model. Anal. Inform. Sist., 19:5 (2012), 50–55

Citation in format AMSBIB
\Bibitem{DemKud12}
\by M.~V.~Demina, N.~A.~Kudryashov
\paper Polynomial Method for Constructing Equilibrium Configurations of Point Vortices in the Plane
\jour Model. Anal. Inform. Sist.
\yr 2012
\vol 19
\issue 5
\pages 50--55
\mathnet{http://mi.mathnet.ru/mais260}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Maria V. Demina, Nikolai A. Kudryashov, “Multi-particle Dynamical Systems and Polynomials”, Regul. Chaotic Dyn., 21:3 (2016), 351–366  mathnet  crossref  mathscinet
  • Моделирование и анализ информационных систем
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