Yahalom, A. A Three-Function Variational Principle for Stationary Nonbarotropic Magnetohydrodynamics. Symmetry 2021, 13, 1632, doi:10.3390/sym13091632.
Yahalom, A. A Three-Function Variational Principle for Stationary Nonbarotropic Magnetohydrodynamics. Symmetry 2021, 13, 1632, doi:10.3390/sym13091632.
Yahalom, A. A Three-Function Variational Principle for Stationary Nonbarotropic Magnetohydrodynamics. Symmetry 2021, 13, 1632, doi:10.3390/sym13091632.
Yahalom, A. A Three-Function Variational Principle for Stationary Nonbarotropic Magnetohydrodynamics. Symmetry 2021, 13, 1632, doi:10.3390/sym13091632.
Abstract
The current paper is devoted to the introduction of simpler Eulerian variational principles from which all the relevant equations of non-barotropic stationary magnetohydrodynamics can be derived for magnetic fields which lie on surfaces. A variational principle is given in terms of three independent variables for stationary non-barotropic magnetohydrodynamic 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, the velocity field, the specific entropy and the density. We further investigate the case in which the flow along magnetic lines is not ideal.
Keywords
Magnetohydrodynamics, Variational Principles, Reduction of Variables
Subject
Physical Sciences, Fluids and Plasmas Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
