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Magnetic hydrodynamics with asymmetric stress tensor
2005
Journal of Mathematical Physics
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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.
doi:10.1063/1.1857065
fatcat:vcy4wtgl7bcvhgdm4yyraq2uzq