A New Diffeomorphism Symmetry Group of Non-Barotropic Magnetohydrodynamics
arXiv:1801.06443 · doi:10.1088/1742-6596/1194/1/012113
Abstract
The theorem of Noether dictates that for every continuous symmetry group of an Action the system must possess a conservation law. In this paper we discuss some subgroups of Arnold's labelling symmetry diffeomorphism related to non-barotropic magnetohydrodynamics (MHD) and the conservations laws associated with them. Those include but are not limited to the metage translation group and the associated topological conservations law of non-barotropic cross helicity.
10 pages, proceedings of Group 32 2018. arXiv admin note: text overlap with arXiv:physics/0603115, arXiv:1703.08072, arXiv:1605.02537