 |
|
|
|
| HAL : hal-00563372, version 4 |
| arXiv : 1102.0949 |
| Fiche détaillée |  Récupérer au format |
|
|
| Versions disponibles : | v1 (04-02-2011) | v2 (31-08-2011) | v3 (16-12-2011) | v4 (06-02-2012) |
|
|
|
|
| Electrified thin films: Global existence of non-negative solutions |
|
|
| Cyril Imbert 1Antoine Mellet 2 |
|
|
| (2011) |
|
|
|
| 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). |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
|
|
|
CNRS : UMR7534 – Université Paris IX - Paris Dauphine |
|
|
| 2 : | Department of Mathematics, University of Maryland |
|
|
|
University of Maryland |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Equations aux dérivées partielles |
|
|
| Higher order equation – Non-local equation – Thin film equation – Non-negative solutions |
|
|
|
| Liste des fichiers attachés à ce document : | ||||||||||
|
||||||||||
|
|
|
| hal-00563372, version 4 | |
| http://hal.archives-ouvertes.fr/hal-00563372 | |
| oai:hal.archives-ouvertes.fr:hal-00563372 | |
| Contributeur : Cyril Imbert | |
| Soumis le : Lundi 6 Février 2012, 16:10:21 | |
| Dernière modification le : Lundi 6 Février 2012, 21:24:49 | |
