Archive for Rational Mechanics and Analysis

, Volume 183, Issue 3, pp 411–456

Surfactants in Foam Stability: A Phase-Field Model

  • Irene Fonseca
  • Massimiliano Morini
  • Valeriy Slastikov

DOI: 10.1007/s00205-006-0012-x

Cite this article as:
Fonseca, I., Morini, M. & Slastikov, V. Arch Rational Mech Anal (2007) 183: 411. doi:10.1007/s00205-006-0012-x


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 which accounts 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, which is in agreement with the experimental results.

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • Irene Fonseca
    • 1
  • Massimiliano Morini
    • 2
  • Valeriy Slastikov
    • 3
  1. 1.Department of Mathematical SciencesCarnegie Mellon UniversityPittsburghUSA
  2. 2.Classe di MatematicaSISSAMiramare Grignano (Trieste)Italy
  3. 3.Mathematics InstituteUniversity of WarwickCoventryUK