Hamiltonian Analysis of integrable point vortices in a circular domain
Using Hamiltonian methods, we analyze the motion of point vortices in a circular domain. We summarize the case with n =1 vortex and focus mainly on discussing the collapse of, and equilibrium solutions for, n=2 vortices. We also discuss results for n=3, 4, and 5 vortices, and with time permitting we may present additional results including quasi-periodic solutions and choreographic solutions .
Jamaloodeen, Mohamed I. and Coppock*, David
"Hamiltonian Analysis of integrable point vortices in a circular domain,"
Georgia Journal of Science, Vol. 78, No. 1, Article 74.
Available at: https://digitalcommons.gaacademy.org/gjs/vol78/iss1/74