Asymptotic behavior of the centroids of a family of vortices
Behrouz Emamizadeh, Mohammad Hossein Mehrabi · Journal of Mathematical Physics · 2003
In this article we consider a family of minimization problems whose solutions represent the vortices of two dimensional flows. We prove that if we consider an admissible sequence of vortices, then the corresponding centroids converge to the global minimizer of the Routh function associated with an appropriate energy functional.