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Magnetic hydrodynamics with asymmetric stress tensor

Yuly Billig
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Abstract

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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Yuly Billig. 2004-01-29. Magnetic hydrodynamics with asymmetric stress tensor. https://doi.org/10.1063/1.1857065

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