Asymptotic behaviour ($t \rightarrow +0$) of the interface for the critical case of undercooled Stefan problem

Götz, Ivan G.; Primicerio, Mario; Velázquez, Juan J. L.

Geodesic

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Asymptotic behaviour ($t \rightarrow +0$) of the interface for the critical case of undercooled Stefan problem

Götz, Ivan G. ; Primicerio, Mario ; Velázquez, Juan J. L.

Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 2, pp. 143-148

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Résumé

The critical case of solvability of a two-phase Stefan problem with supercooled liquid phase is considered. Asymptotic analysis is performed of the behaviour of the free boundary in the vicinity of the initial time.

MR Zbl

@article{RLIN_2002_9_13_2_a8,
     author = {G\"otz, Ivan G. and Primicerio, Mario and Vel\'azquez, Juan J. L.},
     title = {Asymptotic behaviour ($t \rightarrow +0$) of the interface for the critical case of undercooled {Stefan} problem},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {143--148},
     publisher = {mathdoc},
     volume = {Ser. 9, 13},
     number = {2},
     year = {2002},
     zbl = {1170.80323},
     mrnumber = {MR1949487},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2002_9_13_2_a8/}
}

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Götz, Ivan G.; Primicerio, Mario; Velázquez, Juan J. L. Asymptotic behaviour ($t \rightarrow +0$) of the interface for the critical case of undercooled Stefan problem. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 2, pp. 143-148. http://geodesic.mathdoc.fr/item/RLIN_2002_9_13_2_a8/