The degenerate and non-degenerate Stefan problem with inhomogeneous and anisotropic Gibbs-Thomson law
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1567 | |
| dc.contributor.author | Kraus, Christiane | |
| dc.date.accessioned | 2016-03-24T17:39:02Z | |
| dc.date.available | 2019-06-28T08:08:15Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | The 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-formula | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/3318 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2568 | |
| 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 | Stefan problems | eng |
| dc.subject.other | phase transitions | eng |
| dc.subject.other | Gibbs-Thomson law | eng |
| dc.subject.other | free boundaries | eng |
| dc.subject.other | variational problems | eng |
| dc.subject.other | geometric measure-theory | eng |
| dc.title | The degenerate and non-degenerate Stefan problem with inhomogeneous and anisotropic Gibbs-Thomson law | 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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