Georgia Journal of Science

Article Title

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 .

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