Summary
We study a problem of Stefan in a semi-infinite, homogeneous, thermically isotropic medium, whose initial temperature is position indipendent. Our semi-infinite medium is initially in a well defined state and its surface is maintained at a constant temperature. It is remarkable that an hypothesis is made, which is new in connection with Stefan problems: we suppose in fact the change of state temperature is a function of the position at which the change happens. Finally we study the asymptotic behaviour for t → ∞ of the solution of our problem.
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Lavoro eseguito nell'ambito dell'attività del VIo Gruppo di Ricerca Matematica del C. N. R. presso l'Istituto Matematico « U. Dini » della Università di Firenze.
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Quilghini, D. Su di un nuovo problema del tipo di Stefan. Annali di Matematica 61, 59–97 (1963). https://doi.org/10.1007/BF02410648
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DOI: https://doi.org/10.1007/BF02410648