Self-similar collapse of point vortices.

A linear algebra formulation of self-similar evolution of point vortices in terms of the inter-vortex distances is presented. This formulation can be used to numerically compute initial positions that give rise to self-similar vortex collapse with or without the prior knowledge of circulations. By tending the decay rate to zero, a family of self-similar collapse solutions asymptotically converging to a relative equilibrium can be numerically constructed from any single solution.