Analytic solutions for a Stefan problem with Gibbs-Thomson correction

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dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/228
dc.identifier.uri https://doi.org/10.15488/206
dc.contributor.author Escher, Joachim
dc.contributor.author Pruss, Jan
dc.contributor.author Simonett, Gieri
dc.date.accessioned 2016-02-11T09:04:22Z
dc.date.available 2016-02-11T09:04:22Z
dc.date.issued 2003
dc.identifier.citation Escher, Joachim; Pruss, Jan; Simonett, Gieri: Analytic solutions for a Stefan problem with Gibbs-Thomson correction. In: Journal für die reine und angewandte Mathematik 2003 (2003), Nr. 563, S. 1-52. Doi: http://dx.doi.org/10.1515/crll.2003.082
dc.description.abstract We provide existence of a unique smooth solution for a class of one- and two-phase Stefan problems with Gibbs-Thomson correction in arbitrary space dimensions. In addition, it is shown that the moving interface depends analytically on the temporal and spatial variables. Of crucial importance for the analysis is the property of maximal L-p-regularity for the linearized problem, which is fully developed in this paper as well. eng
dc.language.iso eng
dc.publisher Berlin : Walter de Gruyter
dc.relation.ispartofseries Journal für die reine und angewandte Mathematik 2003 (2003), Nr. 563
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject phase-transition problems eng
dc.subject free-boundary eng
dc.subject parabolic equations eng
dc.subject classical-solutions eng
dc.subject space variables eng
dc.subject weak solutions eng
dc.subject continuity eng
dc.subject regularity eng
dc.subject temperature eng
dc.subject operators eng
dc.subject.ddc 510 | Mathematik ger
dc.title Analytic solutions for a Stefan problem with Gibbs-Thomson correction eng
dc.type article
dc.type Text
dc.relation.essn 1435-5345
dc.relation.issn 0075-4102
dc.relation.doi http://dx.doi.org/10.1515/crll.2003.082
dc.bibliographicCitation.issue 563
dc.bibliographicCitation.volume 2003
dc.bibliographicCitation.firstPage 1
dc.bibliographicCitation.lastPage 52
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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