Asymptotic behavior of the centroids of a family of vortices

B. Emamizadeh; M. H. Mehrabi

doi:10.1063/1.1597947

Asymptotic behavior of the centroids of a family of vortices

B. Emamizadeh, M. H. Mehrabi

Research output: Journal Publication › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	4119-4133
Number of pages	15
Journal	Journal of Mathematical Physics
Volume	44
Issue number	9
DOIs	https://doi.org/10.1063/1.1597947
Publication status	Published - 1 Sept 2003
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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Asymptotic behavior of the centroids of a family of vortices

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