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dc.contributor.authorMellet, Antoine
dc.contributor.authorImbert, Cyril
dc.date.accessioned2011-02-07T13:45:06Z
dc.date.available2011-02-07T13:45:06Z
dc.date.issued2012
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/5667
dc.language.isoenen
dc.subjectNon-negative solutionsen
dc.subjectThin film equationen
dc.subjectNon-local equationen
dc.subjectHigher order equationen
dc.subject.ddc515en
dc.titleElectrified thin films: Global existence of non-negative solutionsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherDepartment of Mathematics, University of Maryland;États-Unis
dc.description.abstractenWe 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).en
dc.relation.isversionofjnlnameAnnales de l'Institut Henri Poincaré. Analyse non linéaire
dc.relation.isversionofjnlvol29
dc.relation.isversionofjnlissue3
dc.relation.isversionofjnldate2012
dc.relation.isversionofjnlpages413-433
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.anihpc.2012.01.003
dc.identifier.urlsitettp://hal.archives-ouvertes.fr/hal-00563372/fr/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevier
dc.subject.ddclabelAnalyseen


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