Calculus of Variations and Geometric Measure Theory

I. Fonseca - M. Morini - V. Slastikov

Surfactants in foam stability: A phase field model

created by morini on 28 Dec 2006
modified on 17 Sep 2007


Published Paper

Inserted: 28 dec 2006
Last Updated: 17 sep 2007

Journal: Arch. Ration. Mech. Anal.
Volume: 183
Number: 3
Pages: 411-456
Year: 2007


The role of surfactants in stabilizing the formation of bubbles in foams is studied using a phase-field model. The analysis is centered on a van der Walls-Cahn-Hilliard-type energy with an added term accounting for the interplay between the presence of a surfactant density and the creation of interfaces. In particular, it is concluded that the surfactant segregates to the interfaces, and that the prescription of the distribution of surfactant will dictate the locus of interfaces, what is in agreement with experimentation.