  We study a spontaneous relaxation dynamics of arbitrarily shaped liquid drops
on solid surfaces in the partial wetting regime. It is assumed that the energy
dissipated near the contact line is much larger than that in the bulk of the
fluid. We have shown rigorously in the case of quasi-static relaxation using
the standard mechanical description of dissipative system dynamics that the
introduction of a dissipation term proportional to the contact line length
leads to the well known local relation between the contact line velocity and
the dynamic contact angle at every point of an arbitrary contact line shape. A
numerical code is developed for 3D drops to study the dependence of the
relaxation dynamics on the initial drop shape. The available asymptotic
solutions are tested against the obtained numerical data. We show how the
relaxation at a given point of the contact line is influenced by the dynamics
of the whole drop which is a manifestation of the non-local
