Abstract
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.
- Received 31 January 2000
DOI:https://doi.org/10.1103/PhysRevE.62.5594
©2000 American Physical Society