dorsal/arxiv
View SchemaVariational principle for frozen-in vortex structures interacting with sound waves
| Authors | Victor P. Ruban |
|---|---|
| Categories | |
| ArXiv ID | physics/0304101 |
| URL | https://arxiv.org/abs/physics/0304101 |
| DOI | 10.1103/PhysRevE.68.047302 |
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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"date_created": "2026-03-02T18:00:43.264000Z",
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"abstract": "General properties of conservative hydrodynamic-type models are treated from\npositions of the canonical formalism adopted for liquid continuous media, with\napplications to the compressible Eulerian hydrodynamics, special- and\ngeneral-relativistic fluid dynamics, and two-fluid plasma model including the\nHall-magnetohydrodynamics. A variational formulation is found for motion and\ninteraction of frozen-in localized vortex structures and acoustic waves in a\nspecial description where dynamical variables are, besides the Eulerian fields\nof the fluid density and the potential component of the canonical momentum,\nalso the shapes of frozen-in lines of the generalized vorticity. This\nvariational principle can serve as a basis for approximate dynamical models\nwith reduced number of degrees of freedom.",
"arxiv_id": "physics/0304101",
"authors": [
"Victor P. Ruban"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevE.68.047302",
"title": "Variational principle for frozen-in vortex structures interacting with sound waves",
"url": "https://arxiv.org/abs/physics/0304101"
},
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