On polygonal relative equilibria in the <i>N</i>-vortex problem
On polygonal relative equilibria in the <i>N</i>-vortex problem
Helmholtz's equations provide the motion of a system of N vortices which describes a planar incompressible fluid with zero viscosity. A relative equilibrium is a particular solution of these equations for which the distances between the vortices are invariant during the motion. In this article, we first show that a …