Noether methods for fluids and plasmas
Abstract
Two applications of the Noether method for fluids and plasmas are presented based on the EulerLagrange and EulerPoincaré variational principles, which depend on whether the dynamical fields are to be varied independently or not, respectively. The relativistic cold laserplasma equations, describing the interaction between an intense laser field with a cold relativistic electron plasma, provide a useful set of equations amenable to both variational formulations. The derivation of conservation laws by the Noether method proceeds from the Noether equation, whose form depends on the variational formulation used. As expected, the expressions for the energymomentum conservation laws are identical in both variational formulations. The connection between the two Lagrangian densities is shown to involve the mass conservation and Lin constraints associated with the cold relativistic electron fluid.
 Publication:

Journal of Plasma Physics
 Pub Date:
 April 2005
 DOI:
 10.1017/S0022377804003563
 arXiv:
 arXiv:physics/0410089
 Bibcode:
 2005JPlPh..71..225B
 Keywords:

 Physics  Plasma Physics
 EPrint:
 16 pages