The Thirteenth Israeli Mini-Workshop in Applied
and Computational Mathematics
Michael Sever (Mathematics, Hebrew University)
Nonrelativistic Euler-Maxwell Systems
Abstract: Galilean symmetric Euler-Maxwell systems are reconsidered as
candidate models of magnetohydrodynamic flow. For a single, electrically
charged fluid, the results are largely negative. Given expected physical
conditions, inclusion of the magnetic force on the fluid all but
necessarily results in a modified Lundquist system; however the treatment,
while mathematically correct, is unsatisfactory in several places.
The difficulty is circumvented, at the expense of additional
complexity of the resulting system, in a plasma model with two fluid
species with charge per unit mass of opposite sign. Under an additional
physical assumption, the plasma model simplifies to the modified Lundquist
system.
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