On relative equilibria and integrable dynamics of point vortices in periodic domains

DOI10.1007/s00162-009-0156-zzbMath1191.76032OpenAlexW2077784060MaRDI QIDQ983606

Mark A. Stremler

Publication date: 24 July 2010

Published in: Theoretical and Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00162-009-0156-z

zbMATH Keywords

vortex dynamicspoint vorticesvortex equilibria

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (4)

Vortices on Closed Surfaces ⋮ The \(N\)-vortex problem in a doubly periodic rectangular domain with constant background vorticity ⋮ Dipole interactions in doubly periodic domains ⋮ Exploring the dynamics of ‘2P’ wakes with reflective symmetry using point vortices

Cites Work

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• Topological fluid mechanics of point vortex motions
• Point Vortex Models and the Dynamics of Strong Vortices in the Atmosphere and Oceans
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• On the motion of three point vortices in a periodic strip
• Evaluation of phase-modulated lattice sums
• Motion of three point vortices in a periodic parallelogram
• Continuous parametric families of stationary and translating periodic point vortex configurations
• Zur Stabilität der Kármánschen Wirbelstraße

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