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math.AP2005
Regularity for solutions of the two-phase Stefan problem
M. K. Korten, C. N. Moore
We consider local solutions of the two-phase Stefan problem with a "mushy" region. We show that if a (distributional) solution u is locally square integrable then the temperature i…
math.AP2004
The Hele-Shaw problem as a "Mesa" limit of Stefan problems: Existence, uniqueness, and regularity of the free boundary
I. A. Blank, M. K. Korten, C. N. Moore
We study a Hele-Shaw problem with a mushy region obtained as a Mesa type limit of one phase Stefan problems in exterior domains. We study the convergence, determine some of the qua…