A New Diffeomorphism Symmetry Group of Non-Barotropic Magnetohydrodynamics

2018/01/31 by Asher Yahalom · 1 citation
Physics and Astronomy · #physics.plasm-ph

paper · pdf · doi:10.1088/1742-6596/1194/1/012113

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

arxiv created 2018/12/01 · arxiv updated 2019/05/22

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.

Citations

• Variational Principles and Applications of Local Topological Constants of Motion for Non-Barotropic Magnetohydrodynamics
• A Conserved Cross Helicity for Non-Barotropic MHD

Cited by

• Noether Currents for Eulerian Variational Principles in Non Barotropic Magnetohydrodynamics and Topological Conservations Laws