On a temperature-dependent Hele-Shaw flow in one dimension
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 12 (2001) no. 1, pp. 57-67.

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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.
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Fasano, Antonio; Pezza, Laura. On a temperature-dependent Hele-Shaw flow in one dimension. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 12 (2001) no. 1, pp. 57-67. http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_1_a5/

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