Analytic approach to the motion of cosmological phase transition fronts
  We consider the motion of planar phase-transition fronts in first-order phase
transitions of the Universe. We find the steady state wall velocity as a
function of a friction coefficient and thermodynamical parameters, taking into
account the different hydrodynamic modes of propagation. We obtain analytical
approximations for the velocity by using the thin wall approximation and the
bag equation of state. We compare our results to those of numerical
calculations and discuss the range of validity of the approximations. We
analyze the structure of the stationary solutions. Multiple solutions may exist
for a given set of parameters, even after discarding non-physical ones. We
discuss which of these will be realized in the phase transition as the
stationary wall velocity. Finally, we discuss on the saturation of the friction
at ultra-relativistic velocities and the existence of runaway solutions.
