Phys. Rev. E 62, 5594–5602 (2000)Conservation of circulation in magnetohydrodynamicsReceived 31 January 2000; published in the issue dated October 2000 We demonstrate at both the Newtonian and (general) relativistic levels the existence of a generalization of Kelvin’s circulation theorem (for pure fluids) that is applicable to perfect magnetohydrodynamics. The argument is based on the least action principle for magnetohydrodynamic flow. Examples of the new conservation law are furnished. The new theorem should be helpful in identifying new kinds of vortex phenomena distinct from magnetic ropes or fluid vortices. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.62.5594
DOI:
10.1103/PhysRevE.62.5594
PACS:
95.30.Qd, 52.65.Kj, 52.30.-q, 95.30.Sf
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