Nonrelativistic Euler-Maxwell systems

Results of two previous papers are used to reexamine Galilean symmetric Euler-Maxwell systems as candidate models of magnetohydrodynamic flow. For a single, electrically charged fluid, the results are largely negative. Under expected physical conditions, inclusion of the magnetic force on the fluid all but necessarily results in a modified Lundquist system. However the treatment is unsatisfactory in several respects.The difficulty is circumvented, at the expense of additional complexity in the resulting system, in a plasma model with two fluid species of charge per unit mass of opposite sign. Under an additional physical assumption, the plasma model simplifies to the modified Lundquist system.