Contact line motion for partially wetting fluids

We study the flow close to an advancing contact line in the limit of a small capillary number. To take into account wetting effects, both long- and short-ranged contributions to the disjoining pressure are taken into account. In front of the contact line, there is a microscopic film corresponding to a minimum of the interaction potential. We compute the parameters of the contact line solution relevant to the matching to a macroscopic problem, for example, a spreading droplet. The result closely resembles previous results obtained with a slip model.