http://arxiv.org/abs/2109.03817
Variational principles for magnetohydrodynamics (MHD) were in-troduced by previous authors both in Lagrangian and Eulerian form. In this paper we introduce simpler Eulerian variational principles from which all the relevant equations of non-barotropic stationary magnetohydrodynamics can be derived for certain field topologies.
The variational principle is given in terms of three independent functions for stationary non-barotropic flows.
This is a smaller number of variables than the eight variables which appear in the standard equations of non-barotropic magnetohydrodynamics which are the magnetic field $\vec B$ the velocity field $\vec v$, the entropy $s$ and the density $\rho$. We further investigate the case in the flow along magnetic lines is not ideal.
A. Yahalom
Fri, 10 Sep 21
45/59
Comments: 30 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:2005.14005, arXiv:physics/0603115, arXiv:1510.00637, arXiv:1703.08072, arXiv:1801.06443, arXiv:physics/0603162