A quasi-incompressible diffuse interface model with phase transition
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1726 | |
dc.contributor.author | Aki, Gonca | |
dc.contributor.author | Dreyer, Wolfgang | |
dc.contributor.author | Giesselmann, Jan | |
dc.contributor.author | Kraus, Christine | |
dc.date.accessioned | 2016-03-24T17:37:51Z | |
dc.date.available | 2019-06-28T08:24:58Z | |
dc.date.issued | 2012 | |
dc.description.abstract | This work introduces a new thermodynamically consistent diffuse model for two-component flows of incompressible fluids. For the introduced diffuse interface model, we investigate physically admissible sharp interface limits by matched asymptotic techniques. To this end, we consider two scaling regimes where in one case we recover the Euler equations and in the other case the Navier-Stokes equations in the bulk phases equipped with admissible interfacial conditions. For the Navier-Stokes regime, we further assume the densities of the fluids are close to each other in the sense of a small parameter which is related to the interfacial thickness of the diffuse model. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/1862 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3427 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
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 | Multi-component flow | eng |
dc.subject.other | phase transition | eng |
dc.subject.other | asymptotic analysis | eng |
dc.subject.other | sharp interface limit | eng |
dc.subject.other | free boundary problems | eng |
dc.subject.other | Cahn-Hilliard equation | eng |
dc.subject.other | Allen-Cahn equation | eng |
dc.subject.other | Navier-Stokes-Korteweg system | eng |
dc.title | A quasi-incompressible diffuse interface model with phase transition | 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 |
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