2000 character limit reached
Thin Film Equations with Soluble Surfactant and Gravity: Modeling and Stability of Steady States (1002.1785v1)
Published 9 Feb 2010 in math.AP
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.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Collections
Sign up for free to add this paper to one or more collections.