  This work presents a study of the interfacial dynamics of thin viscoelastic
films subjected to the gravitational force and substrate interactions induced
by the disjoining pressure, in two spatial dimensions. The governing equation
is derived as a long-wave approximation of the Navier-Stokes equations for
incompressible viscoelastic liquids under the effect of gravity, with the
Jeffreys model for viscoelastic stresses. For the particular cases of
horizontal or inverted planes, the linear stability analysis is performed to
investigate the influence of the physical parameters involved on the growth
rate and length scales of instabilities. Numerical simulations of the nonlinear
regime of the dewetting process are presented for the particular case of an
inverted plane. Both gravity and the disjoining pressure are found to affect
not only the length scale of instabilities, but also the final configuration of
dewetting, by favoring the formation of satellite droplets, that are suppressed
by the slippage with the solid substrate.
