Existence of solutions to an anisotropic degenerate Cahn-Hilliard-type equation
dc.bibliographicCitation.volume | 2332 | |
dc.contributor.author | Dziwnik, Marion | |
dc.contributor.author | Jachalski, Sebastian | |
dc.date.accessioned | 2016-12-19T22:47:24Z | |
dc.date.available | 2019-06-28T08:02:11Z | |
dc.date.issued | 2016 | |
dc.description.abstract | We prove existence of solutions to an anisotropic Cahn-Hilliard-type equation with degenerate diffusional mobility. In particular, the mobility vanishes at the pure phases, which is typically used to model motion by surface diffusion. The main difficulty of the present existence result is the strong non-linearity given by the fourth-order anisotropic operator. Imposing particular assumptions on the domain and assuming that the strength of the anisotropy is sufficiently small enables to establish appropriate auxiliary results which play an essential part in the present existence proof. In addition to the existence we show that the absolute value of the corresponding solutions is bounded by 1. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/2321 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1755 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2332, ISSN 2198-5855 | 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 | Degenerate Cahn-Hilliard equation | eng |
dc.subject | anisotropic parabolic equations | eng |
dc.subject | existence of solutions | eng |
dc.subject | boundedness of solutions | eng |
dc.subject.ddc | 510 | eng |
dc.title | Existence of solutions to an anisotropic degenerate Cahn-Hilliard-type equation | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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