On the domain dependence of solutions to the two-phase Stefan problem
Eduard Feireisl, Hana Petzeltová · Applications of Mathematics · 2000
We prove that solutions to the two-phase Stefan problem defined on a sequence of spatial domains Ώn ⊂ ℝN converge to a solution of the same problem on a domain Ω where Ω is the limit of Ω n in the sense of Mosco. The corresponding free boundaries converge in the sense of Lebesgue measure on ℝN.