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"
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.
point vortices, stationary configurations, translating configurations.
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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
\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.
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This publication is cited in the following articles:
Maria V. Demina, Nikolai A. Kudryashov, “Multi-particle Dynamical Systems and Polynomials”, Regul. Chaotic Dyn., 21:3 (2016), 351–366
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