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(2016)
Modeling and analysis of a two - phase thin filmmodel with insoluble surfactant
- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Springer International Publishing
- Subject
- Mathematics; Analysis
- ISSN
- 1424-3199
- eISSN
- 1424-3202
- DOI
- 10.1007/s00028-017-0386-2
- Publisher site
- See Article on Publisher Site
Abstract
Of concern is the study of a system of three equations describing the motion of a viscous complete wetting two-phase thin film endowed with a layer of insoluble surfactant on the surface of the upper fluid under the effects of capillary forces. The governing equations for the film heights of the two-phase flow are degenerate, parabolic and strongly coupled fourth-order equations, which are additionally coupled to a second-order parabolic transport equation for the surfactant concentration. A result on the existence of non-negative global weak solutions is presented.
Journal
Journal of Evolution Equations – Springer Journals
Published: Feb 2, 2017