Variational principle for frozen-in vortex structures interacting with sound waves

Details Variational principle for frozen-in vortex structures interacting with sound waves Variational principle for frozen-in vortex structures interacting with sound waves

2003-04-28

arxiv.org/abs/physics/0304101v1

Physics

Fluid Dynamics

7 pages, revtex4, no figures

Scientific paper

10.1103/PhysRevE.68.047302

General properties of conservative hydrodynamic-type models are treated from positions of the canonical formalism adopted for liquid continuous media, with applications to the compressible Eulerian hydrodynamics, special- and general-relativistic fluid dynamics, and two-fluid plasma model including the Hall-magnetohydrodynamics. A variational formulation is found for motion and interaction of frozen-in localized vortex structures and acoustic waves in a special description where dynamical variables are, besides the Eulerian fields of the fluid density and the potential component of the canonical momentum, also the shapes of frozen-in lines of the generalized vorticity. This variational principle can serve as a basis for approximate dynamical models with reduced number of degrees of freedom.

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