Si studia un problema di Stefan a una fase per un materiale semi-infinito con un coefficiente di conduttività termica dipendente dalla temperatura e con una condizione di temperatura costante o un flusso di calore del tipo $-q_0/\sqrt{t}$ ($q_0 > 0$) sulla faccia fissa $x=0$ . Si ottengono, in entrambi i casi, condizioni sufficienti per i dati in modo da avere una rappresentazione parametrica della soluzione di tipo similarità per $t\geq t_0>0$ con $t_0$ un tempo positivo arbitrario. Queste soluzioni esplicite sono ottenute attraverso l’unica soluzione di una equazione integrale dove il tempo è un parametro.
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Con il contributo del Ministero per i Beni e le Attività Culturali