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
Abstract
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: | https://eprints.maths.manchester.ac.uk/id/eprint/105 |
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