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A lubrication model can be used to describe the dynamics of a weakly volatileviscous fluid layer on a hydrophobic substrate. Thin layers of the fluid areunstable to perturbations and break up into slowly evolving interactingdroplets. A reduced-order dynamical system is derived from the lubricationmodel based on the nearest-neighbor droplet interactions in the weakcondensation limit. Dynamics for periodic arrays of identical drops andpairwise droplet interactions are investigated which provide insights into thecoarsening dynamics for large systems. Weak condensation is shown to be asingular perturbation, fundamentally changing the long-time coarsening dynamicsfor the droplets and the overall mass of the fluid in two additional regimes oflong-time dynamics.

Coarsening of thin films with weak condensation