Weak solutions to a thin film model with capillary effects and insoluble surfactant
Analysis of PDEs
2012-12-27 v1
Abstract
The paper focuses on a model describing the spreading of an insoluble surfactant on a thin viscous film with capillary effects taken into account. The governing equation for the film height is degenerate parabolic of fourth order and coupled to a second order parabolic equation for the surfactant concentration. It is shown that nonnegative weak solutions exist under natural assumptions on the surface tension coefficient.
Keywords
Cite
@article{arxiv.1109.6762,
title = {Weak solutions to a thin film model with capillary effects and insoluble surfactant},
author = {Joachim Escher and Matthieu Hillairet and Philippe Laurencot and Christoph Walker},
journal= {arXiv preprint arXiv:1109.6762},
year = {2012}
}