Bounded traveling waves for a thin film with gravity and insoluble surfactant
Analysis of PDEs
2014-01-15 v1
Abstract
Lubrication equations for a surfactant-driven flow of a thin layer of fluid are considered with a singular surfactant-dependent surface tension. It is shown that there exists a bounded traveling wave solution which connects a fully surfactant-coated film to an uncoated film. The regularity of the traveling wave depends on whether or not surface diffusion of the insoluble surfactant is included.
Cite
@article{arxiv.1401.3300,
title = {Bounded traveling waves for a thin film with gravity and insoluble surfactant},
author = {Joachim Escher and Matthieu Hillairet and Philippe Laurencot and Christoph Walker},
journal= {arXiv preprint arXiv:1401.3300},
year = {2014}
}