Relative Equilibria in the 4-Vortex Problem Bifurcating from an Equilateral Triangle Configuration-Reference-Cited by-同舟云学术

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

Published:2016-01-01 Issue:1 Volume:1 Page:301-310
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Pérez-Chavela Ernesto¹,Tamayo Claudia²

Affiliation:

1. Instituto Tecnológico Autónomo de México (ITAM), Departamento de Matemáticas , Mexico , Mexico

2. UAM-Iztapalapa , Departamento de Matemáticas , Mexico , Mexico

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.21042/AMNS.2016.1.00025

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