Weak solutions to lubrication equations in the presence of strong slippage
Analysis of PDEs
2010-12-06 v1
Abstract
The existence of global weak solutions is proved for one-dimensional lubrication models that describe the dewetting process of nanoscopic thin polymer films on hydrophobyzed substrates and take account of large slippage at the polymer-substrate interface. The convergence of these solutions as either the Reynolds number or the capillarity goes to zero, as well as their limiting behaviour as the slip length goes to zero or infinity are investigated.
Keywords
Cite
@article{arxiv.1012.0687,
title = {Weak solutions to lubrication equations in the presence of strong slippage},
author = {Georgy Kitavtsev and Philippe Laurencot and Barbara Niethammer},
journal= {arXiv preprint arXiv:1012.0687},
year = {2010}
}