  We investigate the behaviour of a two-component Fermi superfluid in a
double-well potential. We numerically solve the time dependent Bogoliubov-de
Gennes equations and characterize the regimes of Josephson oscillations and
self-trapping for different potential barriers and initial conditions. In the
weak link limit the results agree with a two-mode model where the relative
population and the phase difference between the two wells obey coupled
nonlinear Josephson equations. A more complex dynamics is predicted for large
amplitude oscillations and large tunneling.
