Hamiltonian dynamics of vortex lines in hydrodynamic-type systems

E. A. Kuznetsov, V. P. Ruban

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    36 Citations (Scopus)

    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 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=∫dr.

    Original languageEnglish
    Pages (from-to)1076-1081
    Number of pages6
    JournalJETP Letters
    Volume67
    Issue number12
    DOIs
    Publication statusPublished - 1998

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