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| Fiche détaillée | Articles dans des revues avec comité de lecture |
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| Annales de l'Institut Henri Poincaré Analyse non linéaire 29, 3 (2012) 413-433 |
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| Versions disponibles : | v1 (04-02-2011) | v2 (31-08-2011) | v3 (16-12-2011) | v4 (06-02-2012) |
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| Electrified thin films: Global existence of non-negative solutions |
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| Cyril Imbert1Antoine Mellet2 |
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| 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). |
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| 1 : | CEREMADE - CEntre de REcherches en MAthématiques de la DEcision |
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| 2 : | Department of Mathematics, University of Maryland |
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| Higher order equation – Non-local equation – Thin film equation – Non-negative solutions |
| 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 2 Juillet 2012, 16:38:00 | |
