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arXiv 2010-02-09 0 views

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

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

Original · EN

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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