  We derive a mathematical model for the motion of several insulating rigid
bodies through an electrically conducting fluid. Starting from a universal
model describing this phenomenon in generality, we elaborate (simplifying)
physical assumptions under which a mathematical analysis of the model becomes
feasible. Our main focus lies on the derivation of the boundary and interface
conditions for the electromagnetic fields as well as the derivation of the
magnetohydrodynamic approximation carried out via a nondimensionalization of
the system.
