Relabeling symmetries in MHD
Conference
·
OSTI ID:489562
- Univ. of Texas, Austin, TX (United States)
Lagrangian symmetries associated with the relabeling of fluid elements are found for hydrodynamics and magnetohydrodynamics (MHD). In hydrodynamics this results in Ertel`s theorem of conservation of potential vorticity, while in MHD it yields the conservation of cross helicity and a new invariant which is a generalization of magnetic helicity. We also show that the reduction from Lagrangian to Eulerian variables for a fluid has the same symmetry and use it to construct the Casimir invariants of the Hamiltonian formalism.
- OSTI ID:
- 489562
- Report Number(s):
- CONF-960354--
- Country of Publication:
- United States
- Language:
- English
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