  The dynamics of the deformations of a moving contact line is formulated. It
is shown that an advancing contact line relaxes more quickly as compared to the
equilibium case, while for a receding contact line there is a corresponding
slowing down. For a receding contact line on a heterogeneous solid surface, it
is found that a roughening transition takes place which formally corresponds to
the onset of leaving a Landau-Levich film.
