Geodesic
On the domain dependence of solutions to the two-phase Stefan problem
Applications of Mathematics, Tome 45 (2000) no. 2, pp. 131-144.

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We prove that solutions to the two-phase Stefan problem defined on a sequence of spatial domains $\Omega _n\subset \mathbb{R}^N$ converge to a solution of the same problem on a domain $\Omega $ where $\Omega $ is the limit of $\Omega _n $ in the sense of Mosco. The corresponding free boundaries converge in the sense of Lebesgue measure on $\mathbb{R}^N$.
DOI : 10.1023/A:1022287529464
Classification : 35B30, 35K65, 35R35
Keywords: Stefan problem; domain dependence; Mosco-type covergence of domains 
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Feireisl, Eduard; Petzeltová, Hana. On the domain dependence of solutions to the two-phase Stefan problem. Applications of Mathematics, Tome 45 (2000) no. 2, pp. 131-144. doi : 10.1023/A:1022287529464. http://geodesic.mathdoc.fr/articles/10.1023/A:1022287529464/

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