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Simplified variational principles for non-barotropic magnetohydrodynamics

Published online by Cambridge University Press:  08 March 2016

Asher Yahalom
Affiliation:
Department of Electrical and Electronic Engineering, Ariel University, Ariel 40700, Israel
Corresponding
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Abstract

Variational principles for magnetohydrodynamics were introduced 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 magnetohydrodynamics can be derived for certain field topologies. The variational principle is given in terms of five independent functions for non-stationary barotropic flows. This is less than the eight variables which appear in the standard equations of barotropic magnetohydrodynamics which are the magnetic field $\boldsymbol{B}$ the velocity field $\boldsymbol{v}$ , the entropy $s$ and the density  ${\it\rho}$ .

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Research Article
Copyright
© Cambridge University Press 2016 

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