Geodesic
Regularity of the Interfaces in the Stefan Problem with a Mushy Region
Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 136-144

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This paper deals with the Stefan-type problem with a zone of coexistence of both phases. We formulate the problem in the enthalpy form and show that the interfaces between the liquid and the mushy, the mushy and the solid phase are smooth. Our approach is to study the structures of the level sets of the solution via Sard's Lemma and the implicit function theorem.
DOI : 10.4153/CMB-1992-020-4
Mots-clés : 35R35, 80A20. 
Yin, Hong-Ming. Regularity of the Interfaces in the Stefan Problem with a Mushy Region. Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 136-144. doi: 10.4153/CMB-1992-020-4
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     title = {Regularity of the {Interfaces} in the {Stefan} {Problem} with a {Mushy} {Region}},
     journal = {Canadian mathematical bulletin},
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     year = {1992},
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     doi = {10.4153/CMB-1992-020-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-020-4/}
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