A model is presented for a Hele-Shaw flow with variable temperature in one space dimension. The problem to be solved is a free boundary problem for a parabolic equation with a non-linear and non-local free boundary condition. Existence and uniqueness are proved.
Si presenta un modello per un flusso di Hele-Shaw con temperatura variabile in una dimensione spaziale. Il problema da risolvere è un problema a frontiera libera per un’equazione parabolica con una condizione al contorno non lineare e non locale. Si dimostrano esistenza e unicità.
@article{RLIN_2001_9_12_1_57_0,
author = {Antonio Fasano and Laura Pezza},
title = {On a temperature-dependent Hele-Shaw flow in one dimension},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
volume = {12},
year = {2001},
pages = {57-67},
zbl = {1170.76326},
mrnumber = {1898449},
language = {en},
url = {http://dml.mathdoc.fr/item/RLIN_2001_9_12_1_57_0}
}
Fasano, Antonio; Pezza, Laura. On a temperature-dependent Hele-Shaw flow in one dimension. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 12 (2001) pp. 57-67. http://gdmltest.u-ga.fr/item/RLIN_2001_9_12_1_57_0/
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