TY - GEN

T1 - Simplified variational principles for barotropic magnetohydrodynamics

AU - Yahalom, A.

PY - 2009

Y1 - 2009

N2 - Variational principles for magnetohydrodynamics were introduced by previous au- thors both in Lagrangian and Eulerian form. In a previous work Yahalom & Lynden-Bell intro- duced a simpler Eulerian variational principles from which all the relevant equations of magneto- hydrodynamics 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 B the velocity field v and the density ρ. In this work I will attempt to improve on our previous results thus reducing the number of functions needed even further.

AB - Variational principles for magnetohydrodynamics were introduced by previous au- thors both in Lagrangian and Eulerian form. In a previous work Yahalom & Lynden-Bell intro- duced a simpler Eulerian variational principles from which all the relevant equations of magneto- hydrodynamics 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 B the velocity field v and the density ρ. In this work I will attempt to improve on our previous results thus reducing the number of functions needed even further.

UR - http://www.scopus.com/inward/record.url?scp=84898985654&partnerID=8YFLogxK

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AN - SCOPUS:84898985654

SN - 9781618390554

T3 - Progress in Electromagnetics Research Symposium

SP - 976

EP - 980

BT - Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing

PB - Electromagnetics Academy

T2 - Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing

Y2 - 23 March 2009 through 27 March 2009

ER -