Vortex dynamics on a cylinder

James Montaldi, Anik Soulière, Tadashi Tokieda

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    Point vortices on a cylinder (periodic strip) are studied geometrically. The Hamiltonian formalism is developed, a nonexistence 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.
    Original languageEnglish
    Pages (from-to)417-430
    Number of pages13
    JournalSIAM Journal on Applied Dynamical Systems
    Issue number3
    Publication statusPublished - 17 Sept 2003


    • Conservation laws
    • Geometric mechanics
    • Hamiltonian systems with symmetry
    • Point vortices


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