Le transizioni di fase si presentano in svariati processi fisici: un esempio tipico è la transizione solido-liquido. Il classico modello matematico, noto come problema di Stefan, tiene conto solo dello scambio del calore latente e della diffusione termica nelle fasi. Si tratta di un problema di frontiera libera, poiché l'evoluzione dell'interfaccia solido liquido è una delle incognite. In questo articolo si rivedono le formulazioni forte e debole di tale problema, e quindi si considerano alcune generalizzazioni fisicamente motivate. In particolare si presenta un modello su scala mesoscopica per la tensione superficiale, il superraffreddamento e la nucleazione.
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Con il contributo del Ministero per i Beni e le Attività Culturali