Polynomial Method for Constructing Equilibrium Configurations of Point Vortices in the Plane
Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 5, pp. 50-55
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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.
@article{MAIS_2012_19_5_a4,
author = {M. V. Demina and N. A. Kudryashov},
title = {Polynomial {Method} for {Constructing} {Equilibrium} {Configurations} of {Point} {Vortices} in the {Plane}},
journal = {Modelirovanie i analiz informacionnyh sistem},
pages = {50--55},
publisher = {mathdoc},
volume = {19},
number = {5},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MAIS_2012_19_5_a4/}
}
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%0 Journal Article %A M. V. Demina %A N. A. Kudryashov %T Polynomial Method for Constructing Equilibrium Configurations of Point Vortices in the Plane %J Modelirovanie i analiz informacionnyh sistem %D 2012 %P 50-55 %V 19 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/MAIS_2012_19_5_a4/ %G ru %F MAIS_2012_19_5_a4
M. V. Demina; N. A. Kudryashov. Polynomial Method for Constructing Equilibrium Configurations of Point Vortices in the Plane. Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 5, pp. 50-55. http://geodesic.mathdoc.fr/item/MAIS_2012_19_5_a4/