Vortex dynamics on a cylinder

Details Vortex dynamics on a cylinder Vortex dynamics on a cylinder

2002-10-02

arxiv.org/abs/math/0210028v1

Mathematics

Dynamical Systems

LaTeX2e, 13 pages, 5 figures

Scientific paper

10.1137/S1111111102415569

Point vortices on a cylinder (periodic strip) are studied geometrically. The
Hamiltonian formalism is developed, a non-existence theorem for relative
equilibria is proved, equilibria are classified when all vorticities have the
same sign, and several results on relative periodic orbits are established,
including as corollaries classical results on vortex streets and leapfrogging.

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