Analytic solutions for a Stefan problem with Gibbs-Thomson correction

Escher, Joachim; Pruss, Jan; Simonett, Gieri

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