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 |
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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 |
|