  Rupture is a nonlinear instability resulting in a finite-time singularity as
a fluid layer approaches zero thickness at a point. We study the dynamics of
rupture in a generalized mathematical model of thin films of viscous fluids
with evaporative effects. The governing lubrication model is a fourth-order
nonlinear parabolic partial differential equation with a non-conservative loss
term due to evaporation. Several different types of finite-time singularities
are observed due to balances between evaporation and surface tension or
intermolecular forces. Non-self-similar behavior and two classes of
self-similar rupture solutions are analyzed and validated against high
resolution PDE simulations.
