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 …

Most basic issues of organic coatings are related to rheology. The paper extracts rheological
methods from the references to establish correlations with coating performance, which sets a …

We consider the slow motion of a thin viscous film flowing over a topographical feature
(trench or mound) under the action of an external body force. Using the lubrication …

We develop a novel patterning technique to create 3D patterns of micro and nanoparticle
assembly via evaporative self-assembly based on the coffee-ring effect of an evaporating …

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 …

A theoretical model for ice growth due to droplets of supercooled fluid impacting on a
subzero substrate is presented. In cold conditions rime (dry) ice forms and the problem …

We extend a recently introduced method for numerically solving partial differential equations
on implicit surfaces [M. Bertalmío, LT Cheng, S. Osher, G. Sapiro. Variational problems and …

Consider the three-dimensional flow of a viscous Newtonian fluid upon an arbitrarily curved
substrate when the fluid film is thin as occurs in many draining, coating and biological flows …

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 …

We study two-dimensional viscous flow over topographical features under the action of an
external body force. The Stokes equations are written as a set of harmonic and biharmonic …