Vortex dynamics on cylinders

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

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Official URL: http://epubs.siam.org/sam-bin/dbq/article/41556


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 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory
MSC 2010, the AMS's Mathematics Subject Classification > 70 Mechanics of particles and systems
MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics
Depositing User: Dr James Montaldi
Date Deposited: 08 Dec 2005
Last Modified: 20 Oct 2017 14:12
URI: http://eprints.maths.manchester.ac.uk/id/eprint/105

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