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Simplified variational principles for non-barotropic magnetohydrodynamics

Published online by Cambridge University Press:  08 March 2016

Asher Yahalom Open the ORCID record for Asher Yahalom [Opens in a new window]
Asher Yahalom*
Affiliation:
Department of Electrical and Electronic Engineering, Ariel University, Ariel 40700, Israel
*
†Email address for correspondence: [email protected]
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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 ${\it\rho}$.

Type
Research Article
Information
Journal of Plasma Physics , Volume 82 , Issue 2 , April 2016 , 905820204
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Copyright
© Cambridge University Press 2016 

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