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Hamiltonian dynamics of vortex lines in hydrodynamic-type systems

  • E. A. Kuznetsov
  • V. P. Ruban
Methods Of Theoretical Physics

Abstract

It is shown that the degeneracy of the noncanonical Poisson bracket operating on the space of solenoidal vector fields that arises due to the freezing-in of the curl of the velocity [E. A. Kuznetsov and A. V. Mikhailov, Phys. Lett. A 77, 37 (1980)] is lifted when the vorticity Ω is represented in terms of vortex lines. This representation makes it possible to integrate the equation of motion of the vorticity for a system with the Hamiltonian H=∫∣Ωdr.

PACS numbers

47.32.−y 

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Copyright information

© MAIK "Nauka/Interperiodica" 1998

Authors and Affiliations

  • E. A. Kuznetsov
    • 1
  • V. P. Ruban
    • 1
  1. 1.L. D. Landau Institute of Theoretical PhysicsRussian Academy of SciencesMoscowRussia

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