Polynomial Method for Constructing Equilibrium Configurations of Point Vortices in the Plane
https://doi.org/10.18255/1818-1015-2012-5-50-55
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.
About the Authors
M. V. Demina
Национальный Исследовательский Ядерный Университет "МИФИ"
Russian Federation
кандидат физико-математических наук, доцент
Russian Federation
кандидат физико-математических наук, доцент
N. A. Kudryashov
Национальный Исследовательский Ядерный Университет "МИФИ"
Russian Federation
доктор физико-математических наук, профессор, заведующий кафедрой
Russian Federation
доктор физико-математических наук, профессор, заведующий кафедрой
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Review
For citations:
Demina M.V., Kudryashov N.A. Polynomial Method for Constructing Equilibrium Configurations of Point Vortices in the Plane. Modeling and Analysis of Information Systems. 2012;19(5):50-55. (In Russ.) https://doi.org/10.18255/1818-1015-2012-5-50-55
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