  We present an analytical and numerical study of the two-dimensional
capillary-driven thin film equation. In particular, we focus on the
intermediate asymptotics of its solutions. Linearising the equation enables us
to derive the associated Green's function and therefore obtain a complete set
of solutions. Moreover, we show that the rescaled solution for any summable
initial profile uniformly converges in time towards a universal self-similar
attractor that is precisely the rescaled Green's function. Finally, a numerical
study on compact-support initial profiles enables us to conjecture the
extension of our results to the nonlinear equation.
