Hamiltonian description of vortex systems

DOI10.1134/S0040577920030137zbMath1446.76087arXiv1910.11967OpenAlexW2981840271MaRDI QIDQ2193703

Leonid I. Piterbarg

Publication date: 20 August 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11967

zbMATH Keywords

Poisson bracketcontinuum Hamiltonian systeminvertible Lagrangian motion

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Cites Work

• On the global stability of the forced motions of a liquid within an ellipsoid
• Hamiltonian description of dipoles on the plane and sphere
• The Poisson bracket for \(2\)D hydrodynamics reduces to the Gardner bracket
• Integrable, Chaotic, and Turbulent Vortex Motion in Two-Dimensional Flows
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