Noether Currents for Eulerian Variational Principles in Non Barotropic Magnetohydrodynamics and Topological Conservations Laws
Fluid Dynamics
2020-12-03 v1 Solar and Stellar Astrophysics
Plasma Physics
Abstract
We derive a Noether current for the Eulerian variational principle of ideal non-barotropic magnetohydrodynamics (MHD). It was shown previously that ideal non-barotropic MHD is mathematically equivalent to a five function field theory with an induced geometrical structure in the case that field lines cover surfaces and this theory can be described using a variational principle. Here we use various symmetries of the flow to derive topological constants of motion through the derived Noether current and discuss their implication for non-barotropic MHD.
Cite
@article{arxiv.2005.14005,
title = {Noether Currents for Eulerian Variational Principles in Non Barotropic Magnetohydrodynamics and Topological Conservations Laws},
author = {Asher Yahalom and Hong Qin},
journal= {arXiv preprint arXiv:2005.14005},
year = {2020}
}
Comments
34 pages. arXiv admin note: substantial text overlap with arXiv:1510.00637, arXiv:1703.08072, arXiv:1801.06443, arXiv:physics/0603115