## “School of Mathematics”

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Paper   IPM / M / 2330
School of Mathematics
Title:   Asymptotic behaviour of the centroids of a family of vortices
Author(s):
 1 B. Emamizadeh 2 M. H. Mehrabi
Status:   Published
Journal: J. Math. Phys.
No.:  9
Vol.:  44
Year:  2003
Pages:   4119-4133
Supported by:  IPM
Abstract:
In this paper 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 minimiser of the Routh function associated with an appropriate energy functional.