The dynamics and stability of thin liquid films have fascinated scientists over many decades:
the observations of regular wave patterns in film flows down a windowpane or along …

Macroscopic thin liquid films are entities that are important in biophysics, physics, and
engineering, as well as in natural settings. They can be composed of common liquids such …

Although the application of reproducing kernel has been explored in different fields in the
past twenty to thirty years and the relevant researches are active in the recent five years …

This paper is a review of work on thin fluid films where surface tension is a driving
mechanism. Its aim is to highlight the substantial amount of literature dealing with relevant …

Presents current knowledge of intermolecular interactions, the dynamics of wetting and the
importance of wettability phenomena in processes and products, detailing the …

A method of calculation is introduced that allows the simulation of the time-dependent three-
dimensional motion of liquid droplets on solid substrates for systems exhibiting finite …

The level-set method of Sussman et al.[J. Comput. Phys. 148 (1999) 81] is extended such
that flows with multiple moving contact lines can be simulated, accounting for inertia, a …

Hypothesis Droplet spreading governs various daily phenomena and industrial processes.
Insights about microdroplet spreading are limited due to experimental difficulties arising from …

The stability of the moving contact line is examined for both Newtonian and viscoelastic
fluids. Two methods for relieving the contact line singularity are chosen: matching the free …

A model for the flow of a thin film, with and without solidification, on an arbitrary three-
dimensional substrate is presented. The problem is reduced to two simultaneous partial …