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math.DS2012
Deformation of geometry and bifurcation of vortex rings
James Montaldi, Tadashi Tokieda
We construct a smooth family of Hamiltonian systems, together with a family of group symmetries and momentum maps, for the dynamics of point vortices on surfaces parametrized by th…
math.DS2002
Vortex dynamics on a cylinder
James Montaldi, Anik Soulière, Tadashi Tokieda
Point vortices on a cylinder (periodic strip) are studied geometrically. The Hamiltonian formalism is developed, a non-existence theorem for relative equilibria is proved, equilibr…