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

Victor P. Ruban
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Abstract

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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Victor P. Ruban. 2003-04-28. Variational principle for frozen-in vortex structures interacting with sound waves. https://doi.org/10.1103/physreve.68.047302

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