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arXiv · 1002.1785

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

Joachim Escher·Matthieu Hillairet·Philippe Laurençot·Christoph Walker
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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.

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Joachim Escher, Matthieu Hillairet, Philippe Laurençot, Christoph Walker. 2010-02-09. Thin Film Equations with Soluble Surfactant and Gravity: Modeling and Stability of Steady States. https://arxiv.org/abs/1002.1785

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