  An advective Cahn-Hilliard model motivated by thin film formation is studied
in this paper. The one-dimensional evolution equation under consideration
includes a transport term, whose presence prevents from identifying a gradient
flow structure. Existence and uniqueness of solutions, together with continuous
dependence on the initial data and an energy equality are proved by combining a
minimizing movement scheme with a fixed point argument. Finally, it is shown
that, when the contribution of the transport term is small, the equation
possesses a global attractor and converges, as the transport term tends to
zero, to a purely diffusive Cahn-Hilliard equation.
