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.
On a temperature-dependent Hele-Shaw flow in one dimension / A. FASANO; L.PEZZA. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - STAMPA. - 12:(2001), pp. 57-67.
On a temperature-dependent Hele-Shaw flow in one dimension
FASANO, ANTONIO;
2001
Abstract
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.File in questo prodotto:
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