Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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)

How to cite: Yahalom, A. A Three Function Variational Principle for Stationary Non-Barotropic Magnetohydrodynamics. Preprints 2021, 2021080560 (doi: 10.20944/preprints202108.0560.v1). Yahalom, A. A Three Function Variational Principle for Stationary Non-Barotropic Magnetohydrodynamics. Preprints 2021, 2021080560 (doi: 10.20944/preprints202108.0560.v1).

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

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.