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Keywords:
Stefan problem; domain dependence; Mosco-type covergence of domains
Stefan problem; domain dependence; Mosco-type covergence of domains
Summary:
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 $\mathbb{R}^N$.
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