We study the dynamics of finitely many vortices in a circular disk and compare the integrability of this problem with that of Kirchhoff's problem of vortices in the plane. The effect of the topology of the phase space on the two Hamiltonian systems is compared. Our goal is to apply topological methods uniformly to investigate the flow of these dynamical systems.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics