Relative Equilibria in the 4-Vortex Problem Bifurcating from an Equilateral Triangle Configuration

Autor: Pérez-Chavela Ernesto, Tamayo Claudia
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Applied Mathematics and Nonlinear Sciences, Vol 1, Iss 1, Pp 301-310 (2016)
Druh dokumentu: article
ISSN: 2444-8656
DOI: 10.21042/AMNS.2016.1.00025
Popis: We study the relative equilibria in the 4-vortex problem when two of vorticities are equal to 1, and the other two equal to m are enough small. We prove that for m > 0 there is a unique concave kite relative equilibria. We also prove that there is a unique convex planar relative equilibria having two pairs of equal vorticities located at the adjacent vertices of the configuration and it is an isosceles trapezoid.
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