Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-52 |
| Number of pages | 52 |
| Journal | Journal für die reine und angewandte Mathematik |
| Issue number | 563 |
| Publication status | Published - 1 Jan 2003 |
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 Lpregularity for the linearized problem, which is fully developed in this paper as well.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal für die reine und angewandte Mathematik, No. 563, 01.01.2003, p. 1-52.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Analytic solutions for a Stefan problem with Gibbs-Thomson correction
AU - Escher, Joachim
AU - Prüss, Jan
AU - Simonett, Gieri
PY - 2003/1/1
Y1 - 2003/1/1
N2 - 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 Lpregularity for the linearized problem, which is fully developed in this paper as well.
AB - 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 Lpregularity for the linearized problem, which is fully developed in this paper as well.
UR - http://www.scopus.com/inward/record.url?scp=0242338686&partnerID=8YFLogxK
U2 - 10.1515/crll.2003.082
DO - 10.1515/crll.2003.082
M3 - Article
AN - SCOPUS:0242338686
SP - 1
EP - 52
JO - Journal für die reine und angewandte Mathematik
JF - Journal für die reine und angewandte Mathematik
SN - 0075-4102
IS - 563
ER -