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 …

Metal films of nanoscale thickness, deposited on substrates and exposed to laser heating,
provide systems that involve several interesting multiphysics effects. In addition to fluid …

Contact angles can be of great value; however, making meaningful contact angle
measurements and interpreting those measurements is complex. For years, researchers …

Alternating Direction Implicit (ADI) schemes are constructed for the solution of two-
dimensional higher-order linear and nonlinear diffusion equations, particularly including the …

In many technological applications, excess solvent must be removed from liquid droplets to
deposit solutes onto substrates. Often, the substrates on which the droplets rest may …

This paper describes a novel strategy for the non-mechanical motion of a liquid droplet by
photoisomerization of surface-immobilized azobenzenes. When a liquid droplet is placed on …

We consider vapor bubbles in microchannels in which the vapor is produced by a heater
element and condenses in cooler parts of the interface. The free boundary problem is …

A mathematical model is developed for fluid flow in the spin coating process. Spin coating
employs centrifugal force to produce coatings of uniform thickness. The long-wave or …

Thin liquid films are ubiquitous in nature and technology so an understanding of their
mechanics is important in many applications. A typical thin film flow consists of an expanse …

A theoretical and numerical model is formulated to describe the instability and the long-time
evolution of both gravity-driven and surface-shear-stress-driven thin coating films. A single …