✦ LIBER ✦

Thin film equations with soluble surfactant and gravity: Modeling and stability of steady states

✍ Scribed by Joachim Escher; Matthieu Hillairet; Philippe Laurençot; Christoph Walker

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 179 KB
Volume: 285
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.201010009

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✦ Synopsis

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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