2000/07/31 by V. P. Ruban · 1 citation
Engineering · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Fluid Dynamics and Turbulent Flows #Quantum, superfluid, helium dynamics #physics.flu-dyn #physics.plasm-ph
paper · pdf · doi:10.1103/physreve.64.036305
published as Phys. Rev. E 64, 036305 (2001) · 7 pages, revtex, no figures. The published version
arxiv created 2001/08/29 · openalex publication_date 2001/08/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
An ideal compressible fluid is considered, with an equilibrium density being a given function of coordinates due to presence of some static external forces. The slow flows in such system, which do not disturb the density, are investigated with the help of the Hamiltonian formalism. The equations of motion of the system are derived for an arbitrary given topology of the vorticity field. The general form of the Lagrangian for frozen-in vortex lines is established. The local induction approximation for motion of slender vortex filaments in several inhomogeneous physical models is studied.