Stationary solutions of liquid two-layer thin film models

dc.contributor.authorJachalski, Sebastian
dc.contributor.authorHuth, Robert
dc.contributor.authorKitavtsev, Georgy
dc.contributor.authorPeschka, Dirk
dc.contributor.authorWagner, Barbara
dc.date.accessioned2017-01-04T16:09:57Z
dc.date.available2019-06-28T08:03:38Z
dc.date.issued2012
dc.description.abstractWe investigate stationary solutions of a thin-film model for liquid two-layer flows in an energetic formulation that is motivated by its gradient flow structure. The goal is to achieve a rigorous understanding of the contact-angle conditions for such two-layer systems. We pursue this by investigating a corresponding energy that favors the upper liquid to dewet from the lower liquid substrate, leaving behind a layer of thickness h∗. After proving existence of stationary solutions for the resulting system of thin-film equations we focus on the limit h∗→0 via matched asymptotic analysis. This yields a corresponding sharp-interface model and a matched asymptotic solution that includes logarithmic switch-back terms. We compare this with results obtained using Γ-convergence, where we establish existence and uniqueness of energetic minimizers in that limit.eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/2071
dc.language.isoengeng
dc.publisherCambridge : arXiveng
dc.relation.urihttps://arxiv.org/abs/1210.5842
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subject.ddc510eng
dc.subject.otherThin filmseng
dc.subject.othergamma-convergenceeng
dc.subject.othermatched asymptoticseng
dc.subject.otherfree boundarieseng
dc.titleStationary solutions of liquid two-layer thin film modelseng
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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