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Stationary solutions of liquid two-layer thin film models
dc.contributor.author | Jachalski, Sebastian | |
dc.contributor.author | Huth, Robert | |
dc.contributor.author | Kitavtsev, Georgy | |
dc.contributor.author | Peschka, Dirk | |
dc.contributor.author | Wagner, Barbara | |
dc.date.accessioned | 2017-01-04T16:09:57Z | |
dc.date.available | 2019-06-28T08:03:38Z | |
dc.date.issued | 2012 | |
dc.description.abstract | We 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.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2071 | |
dc.language.iso | eng | eng |
dc.publisher | Cambridge : arXiv | eng |
dc.relation.uri | https://arxiv.org/abs/1210.5842 | |
dc.rights.license | This 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.license | Dieses 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.ddc | 510 | eng |
dc.subject.other | Thin films | eng |
dc.subject.other | gamma-convergence | eng |
dc.subject.other | matched asymptotics | eng |
dc.subject.other | free boundaries | eng |
dc.title | Stationary solutions of liquid two-layer thin film models | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |