A Three Function Variational Principle for Stationary Non-Barotropic Magnetohydrodynamics. (arXiv:2109.03817v1 [physics.plasm-ph])
<a href="http://arxiv.org/find/physics/1/au:+Yahalom_A/0/1/0/all/0/1">Asher Yahalom</a>
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.
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.
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