On a thin film model with insoluble surfactant
Analysis of PDEs
2019-08-21 v2
Abstract
This paper studies the existence and asymptotic behavior of global weak solutions for a thin film equation with insoluble surfactant under the influence of gravitational, capillary and van der Waals forces. We prove the existence of global weak solutions for \emph{medium sized} initial data in \emph{large function spaces}. Moreover, exponential decay towards the flat equilibrium state is established, where an estimate on the decay rate can be computed explicitly.
Cite
@article{arxiv.1908.06406,
title = {On a thin film model with insoluble surfactant},
author = {Gabriele Bruell and Rafael Granero-Belinchón},
journal= {arXiv preprint arXiv:1908.06406},
year = {2019}
}