Thin Film Equations with Soluble Surfactant and Gravity: Modeling and Stability of Steady States
Analysis of PDEs
2010-02-10 v1
Abstract
A thin film on a horizontal solid substrate and coated with a soluble surfactant is considered. The governing degenerate parabolic equations for the film height and the surfactant concentrations on the surface and in the bulk are derived using a lubrication approximation when gravity is taken into account. It is shown that the steady states are asymptotically stable.
Keywords
Cite
@article{arxiv.1002.1785,
title = {Thin Film Equations with Soluble Surfactant and Gravity: Modeling and Stability of Steady States},
author = {Joachim Escher and Matthieu Hillairet and Philippe Laurençot and Christoph Walker},
journal= {arXiv preprint arXiv:1002.1785},
year = {2010}
}