English

A New Diffeomorphism Symmetry Group of Non-Barotropic Magnetohydrodynamics

Plasma Physics 2019-05-22 v2

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.

Keywords

Cite

@article{arxiv.1801.06443,
  title  = {A New Diffeomorphism Symmetry Group of Non-Barotropic Magnetohydrodynamics},
  author = {Asher Yahalom},
  journal= {arXiv preprint arXiv:1801.06443},
  year   = {2019}
}

Comments

10 pages, proceedings of Group 32 2018. arXiv admin note: text overlap with arXiv:physics/0603115, arXiv:1703.08072, arXiv:1605.02537