Magnetic hydrodynamics with asymmetric stress tensor

Details Magnetic hydrodynamics with asymmetric stress tensor Magnetic hydrodynamics with asymmetric stress tensor

2004-01-29

arxiv.org/abs/math-ph/0401052v1

Physics

Mathematical Physics

Scientific paper

10.1063/1.1857065

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
non-trivial 2-cocycle. We use the Lie algebra approach to prove the energy
conservation law and the conservation of cross-helicity.

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