Symplectic reduction and the Lie–Poisson shape dynamics of N point vortices on the plane

DOI10.1088/1361-6544/ab28aazbMath1489.37075arXiv1808.01769OpenAlexW3103258146MaRDI QIDQ5234007

Tomoki Ohsawa

Publication date: 9 September 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01769

zbMATH Keywords

symplectic reductionHamiltonian dynamicspoint vorticesLie-Poisson equation

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Hamilton's equations (70H05) Momentum maps; symplectic reduction (53D20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (1)

Shape dynamics of N point vortices on the sphere

Cites Work

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