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2005.33: Vortex dynamics on cylinders

2005.33: James Montaldi, Anik Souliere and Tadashi Tokieda (2003) Vortex dynamics on cylinders. SIAM J. on Applied Dynamical Systems, 2. pp. 417-430. ISSN 1536-0040

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DOI: 10.1137/S1111111102415569


Point vortices on a cylinder (periodic strip) are studied geometrically, using local integrals of motion. 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.

Item Type:Article
Uncontrolled Keywords:point vortices, Hamiltonian systems with symmetry, geometric mechanics, conservation laws
Subjects:MSC 2000 > 37 Dynamical systems and ergodic theory
MSC 2000 > 70 Mechanics of particles and systems
MSC 2000 > 76 Fluid mechanics
MIMS number:2005.33
Deposited By:Dr James Montaldi
Deposited On:08 December 2005

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