The degenerate and non-degenerate Stefan problem with inhomogeneous and anisotropic Gibbs-Thomson law

Simple item page
dc.bibliographicCitation.volume1567
dc.contributor.authorKraus, Christiane
dc.date.accessioned2016-03-24T17:39:02Z
dc.date.available2019-06-28T08:08:15Z
dc.date.issued2010
dc.description.abstractThe Stefan problem is coupled with a spatially inhomogeneous and anisotropic Gibbs-Thomson condition at the phase boundary. We show the long-time existence of weak solutions for the non-degenerate Stefan problem with a spatially inhomogeneous and anisotropic Gibbs-Thomson law and a conditional existence result for the corresponding degenerate Stefan problem. To this end approximate solutions are constructed by means of variational functionals with spatially inhomogeneous and anisotropic interfacial energy. By passing to the limit, we establish solutions of the Stefan problem with a spatially inhomogeneous and anisotropic Gibbs-Thomson law in a weak generalized BV-formulaeng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn0946-8633
dc.identifier.urihttps://doi.org/10.34657/3318
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/2568
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.ispartofseriesPreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik, Volume 1567, ISSN 0946-8633eng
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.subjectStefan problemseng
dc.subjectphase transitionseng
dc.subjectGibbs-Thomson laweng
dc.subjectfree boundarieseng
dc.subjectvariational problemseng
dc.subjectgeometric measure-theoryeng
dc.subject.ddc510eng
dc.titleThe degenerate and non-degenerate Stefan problem with inhomogeneous and anisotropic Gibbs-Thomson laweng
dc.typereporteng
dc.typeTexteng
dcterms.bibliographicCitation.journalTitlePreprint / Weierstraß-Institut für Angewandte Analysis und Stochastikeng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
66521619X.pdf
Size:
514.94 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Mathematik