Electrified thin films: Global existence of non-negative solutions
Mellet, Antoine; Imbert, Cyril (2012), Electrified thin films: Global existence of non-negative solutions, Annales de l'Institut Henri Poincaré. Analyse non linéaire, 29, 3, p. 413-433. http://dx.doi.org/10.1016/j.anihpc.2012.01.003
Type
Article accepté pour publication ou publiéExternal document link
ttp://hal.archives-ouvertes.fr/hal-00563372/fr/Date
2012Journal name
Annales de l'Institut Henri Poincaré. Analyse non linéaireVolume
29Number
3Publisher
Elsevier
Pages
413-433
Publication identifier
Metadata
Show full item recordAbstract (EN)
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).Subjects / Keywords
Non-negative solutions; Thin film equation; Non-local equation; Higher order equationRelated items
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