Thin Film Equations with Soluble Surfactant and Gravity: Modeling and Stability of Steady States

Details Thin Film Equations with Soluble Surfactant and Gravity: Modeling and Stability of Steady States Thin Film Equations with Soluble Surfactant and Gravity: Modeling and Stability of Steady States

2010-02-09

arxiv.org/abs/1002.1785v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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