Asher Yahalom

Title: Non-Stationary Barotropic Magnetohydrodynamics as a Four Function Field Theory

Variational principles for magnetohydrodynamics were introduced by previous authors both in Lagrangian and Eulerian form. In a previous work [1] we introduced a simpler Eulerian variational principles from which all the relevant equations of magnetohydrodynamics can be derived. The variational principle were given in terms of six independent functions for non-stationary flows and three independent functions for stationary flows. This is less then the seven variables which appear in the standard equations of magnetohydrodynamics which are the magnetic field the velocity field and the density . In this work [2,3] we will attempt to improve on our previous results thus reducing the number of functions needed even further.

[1] A. Yahalom and D. Lynden-Bell “Simplified Variational Principles for Barotropic Magnetohydrodynamics” [Los-Alamos Archives – physics/0603128] Journal of Fluid Mechanics Volume 607 pages 235-265 (2008).

[2] ‎Asher Yahalom “A Four Function Variational Principle for Barotropic ‎Magnetohydrodynamics” EPL 89 (2010) 34005, doi: 10.1209/0295-5075/89/34005. ‎‎[Los-Alamos Archives – arXiv:0811.2309].‎

[3] Asher Yahalom “Aharonov – Bohm Effects in Magnetohydrodynamics” Physics ‎Letters A. Available online 22 May 2013, ‎http://dx.doi.org/10.1016/j.physleta.2013.05.037. Volume 377, Issues 31–33, 30 ‎October 2013, Pages 1898–1904.‎

 

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