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Simplified Variational Principles for non-Barotropic Magnetohydrodynamics
Asher Yahalom
Ariel University
Variational principles for magnetohydrodynamics (MHD) were introduced by previous authors both in Lagrangian and Eulerian form. In this talk we introduce simpler Eulerian variational principles from which all the relevant equations of non-barotropic magnetohydrodynamics can be derived. The variational principle is given in terms of five independent functions for non-stationary barotropic flows. This is less then the eight variables which appear in the standard equations of barotropic magnetohydrodynamics which are the magnetic field B the velocity field v, the entropy s and the density ρ.
[1] Asher Yahalom “Simplified Variational Principles for Non-Barotropic Magnetohydrodynamics - Further Details” Proceedings of the Fourteenth Israeli-Russian Bi-National Workshop 2015 “Optimization of the Composition, Structure and Properties of Metals, Oxides, Composites, Nano and Amorphous Materials”, pages 23-34. 12-16 July, 2015, Ariel University, Israel.
[2] Asher Yahalom “Simplified Variational Principles for non-Barotropic Magnetohydrodynamics”. (arXiv: 1510.00637 [Plasma Physics])