Liquid drops sliding down an inclined plane
Analysis of PDEs
2012-03-15 v1
Abstract
We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model). We prove existence and uniqueness of a solution and investigate its long time behavior for both homogeneous and inhomogeneous medium (i.e. constant and non-constant contact angle). We also obtain some homogenization results.
Cite
@article{arxiv.1203.2942,
title = {Liquid drops sliding down an inclined plane},
author = {Inwon Kim and Antoine Mellet},
journal= {arXiv preprint arXiv:1203.2942},
year = {2012}
}
Comments
33 pages, 2 figures