Article
Version 1
Preserved in Portico This version is not peer-reviewed
A Three Function Variational Principle for Stationary Non-Barotropic Magnetohydrodynamics
Version 1
: Received: 30 August 2021 / Approved: 31 August 2021 / Online: 31 August 2021 (11:16:47 CEST)
A peer-reviewed article of this Preprint also exists.
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.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment