Relabeling symmetries in hydrodynamics and magnetohydrodynamics

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Lagrangian symmetries and concomitant generalized Bianchi identities associated with the relabeling of fluid elements are found for hydrodynamics and magnetohydrodynamics (MHD). In hydrodynamics relabeling results in Ertel`s theorem of conservation of potential vorticity, while in MHD it yields the conservation of cross helicity. The symmetries of the reduction from Lagrangian (material) to Eulerian variables are used to construct the Casimir invariants of the Hamiltonian formalism.

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16 p.

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Padhye, N. & Morrison, P.J. April 1, 1996.

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Description

Lagrangian symmetries and concomitant generalized Bianchi identities associated with the relabeling of fluid elements are found for hydrodynamics and magnetohydrodynamics (MHD). In hydrodynamics relabeling results in Ertel`s theorem of conservation of potential vorticity, while in MHD it yields the conservation of cross helicity. The symmetries of the reduction from Lagrangian (material) to Eulerian variables are used to construct the Casimir invariants of the Hamiltonian formalism.

Physical Description

16 p.

Notes

INIS; OSTI as DE96009760

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  • Other Information: PBD: Apr 1996

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  • Other: DE96009760
  • Report No.: DOE/ER/54346--728
  • Report No.: IFSR--728
  • Grant Number: FG03-96ER54346
  • DOI: 10.2172/226406 | External Link
  • Office of Scientific & Technical Information Report Number: 226406
  • Archival Resource Key: ark:/67531/metadc665227

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Office of Scientific & Technical Information Technical Reports

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  • April 1, 1996

Added to The UNT Digital Library

  • June 29, 2015, 9:42 p.m.

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  • Aug. 10, 2016, 2:14 p.m.

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Padhye, N. & Morrison, P.J. Relabeling symmetries in hydrodynamics and magnetohydrodynamics, report, April 1, 1996; Austin, Texas. (digital.library.unt.edu/ark:/67531/metadc665227/: accessed December 14, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.