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
Faculty Advisor Institution
University of Minnesota Duluth
Suggested Mathematics Subject Classification(s)
Primary 70Fxx, 37N10, 78Bxx
Marshall Hampton, Andrea Peterson, Heather Stoller, and Albert Wang, On the Nonexistence of Singular Equilibria in the Four-vortex Problem, Furman University Electronic Journal of Undergraduate Mathematics, 10 (2016), 1-4. Available at: http://scholarexchange.furman.edu/fuejum/vol10/iss1/1