Magnetic hydrodynamics with asymmetric stress tensor
Mathematical Physics
2009-11-10 v1 math.MP
Plasma Physics
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.
Keywords
Cite
@article{arxiv.math-ph/0401052,
title = {Magnetic hydrodynamics with asymmetric stress tensor},
author = {Yuly Billig},
journal= {arXiv preprint arXiv:math-ph/0401052},
year = {2009}
}