Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899044 | Journal of Differential Equations | 2018 | 20 Pages |
Abstract
We prove the existence of a travelling wave solution for a gravity-driven thin film of a viscous and incompressible dilatant fluid coated with an insoluble surfactant. The governing system of second order partial differential equations for the film's height h and the surfactant's concentration γ are derived by means of lubrication theory applied to the non-Newtonian Navier-Stokes equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Joachim Escher, Christina Lienstromberg,