In this paper we provide a partial answer to a question recently posed by Hassan Aref et. al. in their article Vortex Crystals, namely whether there are certain singular equilibria of point vortices. We prove that there are no such equilibria in the four-vortex case.

Faculty Advisor Name

Marshall Hampton

Faculty Advisor Institution

University of Minnesota Duluth

Suggested Mathematics Subject Classification(s)

Primary 70Fxx, 37N10, 78Bxx


This paper was written in the summer of 2004 by the first-listed author who at the time of the work was a mathematics faculty member at the University of Minnesota, and the other three authors who were high school students at the time the work was conducted.

Included in

Mathematics Commons



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