The constrained planar \(N\)-vortex problem. I: Integrability

DOI10.3934/DCDSB.2005.5.137zbMath1064.37047OpenAlexW2044945593MaRDI QIDQ1772488

E. Upchurch, M. Ruith, Paul K. Newton

Publication date: 18 April 2005

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2005.5.137

zbMATH Keywords

integrabilityparticle interactions\(N\)-vortex problemconstrained Hamiltonian

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

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