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Hamiltonian description of dipoles on the plane and sphere

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Publication:637193
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DOI10.1016/j.physleta.2007.11.010zbMath1220.76021OpenAlexW2034677428MaRDI QIDQ637193

Leonid I. Piterbarg

Publication date: 2 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.11.010


zbMATH Keywords

vorticityspherePoisson bracketdipole2D hydrodynamicscontinuum Hamiltonian system


Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Liquid crystals (76A15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)


Related Items (1)

Hamiltonian description of vortex systems



Cites Work

  • Hamiltonian description of monopoles on a rotating sphere
  • The Poisson bracket for \(2\)D hydrodynamics reduces to the Gardner bracket
  • Dynamics of a nonlinear dipole vortex
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