L'articolo riassume il quadro dei risultati noti circa il cosiddetto problema di Stefan con sopraraffreddamento. Con ciò si intende in senso lato l'estensione del modello di Stefan a quei casi in cui la temperatura della fase liquida (solida) non è confinata al di sopra (sotto) di quella di cambiamento di fase, supposta costante. La nostra discussione è prevalentemente rivolta allo sviluppo di singolarità (non limitatezza della velocità dell'interfaccia, ecc.), al modo di prevederle, di prevenirle (regolarizzazione), alla loro interpretazione termodinamica e alla descrizione del comportamento delle soluzioni in vicinanza dei punti singolari.
@article{BUMI_1998_8_1B_1_49_0,
author = {A. Fasano},
title = {Phase transition with supercooling},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {1-A},
year = {1998},
pages = {49-69},
zbl = {0903.35095},
mrnumber = {1619031},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_1998_8_1B_1_49_0}
}
Fasano, A. Phase transition with supercooling. Bollettino dell'Unione Matematica Italiana, Tome 1-A (1998) pp. 49-69. http://gdmltest.u-ga.fr/item/BUMI_1998_8_1B_1_49_0/
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