Electrified thin films: Global existence of non-negative solutions
Analysis of PDEs
2012-07-03 v4
Abstract
We consider an equation modeling the evolution of a viscous liquid thin film wetting a horizontal solid substrate destabilized by an electric field normal to the substrate. The effects of the electric field are modeled by a lower order non-local term. We introduce the good functional analysis framework to study this equation on a bounded domain and prove the existence of weak solutions defined globally in time for general initial data (with finite energy).
Keywords
Cite
@article{arxiv.1102.0949,
title = {Electrified thin films: Global existence of non-negative solutions},
author = {Cyril Imbert and Antoine Mellet},
journal= {arXiv preprint arXiv:1102.0949},
year = {2012}
}
Comments
To appear in Annales de l'IHP, analyse non-lin\'eaire. Minor modifications after reading proofs