In this paper we study equations of magnetic hydrodynamics with a stress tensor. We interpret this system as the generalized Euler equation associated with an Abelian extension of the Lie algebra of vector fields with a nontrivial 2-cocycle. We use the Lie algebra approach to prove the energy conservation law and the conservation of cross-helicity.

Additional Metadata
Persistent URL dx.doi.org/10.1063/1.1857065
Journal Journal of Mathematical Physics
Citation
Billig, Y. (2005). Magnetic hydrodynamics with asymmetric stress tensor. Journal of Mathematical Physics, 46(4). doi:10.1063/1.1857065