Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2608 | |
dc.contributor.author | Lasarzik, Robert | |
dc.contributor.author | Rocca, Elisabetta | |
dc.contributor.author | Schimperna, Giulio | |
dc.date.accessioned | 2022-06-23T14:30:44Z | |
dc.date.available | 2022-06-23T14:30:44Z | |
dc.date.issued | 2019 | |
dc.description.abstract | In this paper we prove the existence of weak solutions for a thermodynamically consistent phase-field model introduced in [26] in two and three dimensions of space. We use a notion of solution inspired by [18], where the pointwise internal energy balance is replaced by the total energy inequality complemented with a weak form of the entropy inequality. Moreover, we prove existence of local-in-time strong solutions and, finally, we show weak-strong uniqueness of solutions, meaning that every weak solution coincides with a local strong solution emanating from the same initial data, as long as the latter exists. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9192 | |
dc.identifier.uri | https://doi.org/10.34657/8230 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2608 | |
dc.relation.issn | 2198-5855 | |
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 | |
dc.subject.other | Existence of weak solutions | eng |
dc.subject.other | weak-strong uniqueness | eng |
dc.subject.other | phase transition | eng |
dc.subject.other | local solutions | eng |
dc.title | Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 29 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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