Simplified Variational Principles for non-Barotropic Magnetohydrodynamics

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. 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 $\vec{B}$ the velocity field $\vec{v}$, the entropy $s$ and the density $\rho$.

16 pages. arXiv admin note: substantial text overlap with arXiv:physics/0603115, arXiv:0811.2309

References in corpus (1)

• General Relativistic Binary Merger Simulations and Short Gamma Ray Bursts

Cited by in corpus (5)

• A Conserved Cross Helicity for Non-Barotropic MHD
• On Magnetohydrodynamic Gauge Field Theory
• Noether Currents for Eulerian Variational Principles in Non Barotropic Magnetohydrodynamics and Topological Conservations Laws
• Hamiltonian formulations for perturbed dissipationless plasma equations
• A New Diffeomorphism Symmetry Group of Non-Barotropic Magnetohydrodynamics