Weak solutions to a two-phase thin film model with insoluble surfactant driven by capillary effects
Analysis of PDEs
2016-08-30 v1
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.
Keywords
Cite
@article{arxiv.1608.07942,
title = {Weak solutions to a two-phase thin film model with insoluble surfactant driven by capillary effects},
author = {Gabriele Bruell},
journal= {arXiv preprint arXiv:1608.07942},
year = {2016}
}