no. 1
The Stefan problem with kinetic condition at the free boundary
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 19 (1992) no. 1, pp. 87-111. 
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     author = {Friedman, Avner and Hu, Bei},
     title = {The {Stefan} problem with kinetic condition at the free boundary},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {87--111},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 19},
     number = {1},
     year = {1992},
     mrnumber = {1183759},
     zbl = {0767.35108},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1992_4_19_1_87_0/}
}
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Friedman, Avner; Hu, Bei. The Stefan problem with kinetic condition at the free boundary. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 19 (1992) no. 1, pp. 87-111. http://archive.numdam.org/item/ASNSP_1992_4_19_1_87_0/

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[2] A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, N.J. (1964). | MR | Zbl

[3] A. Friedman, Mathematics in Industrial Problems, Part 4, Springer-Verlag, Heidelberg (1991). | MR | Zbl

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[5] W. Xie, The Stefan problem with a kinetic condition at the free boundary, SIAM J. Math. Anal, 21 (1990), 362-373. | MR | Zbl