| Abstract: | 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.
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. |
