Séminaire d'Analyse
Two limits for the one-phase Stefan problemFernando Quiros
Thursday 05 February 2009 11:15 - Tours - Salle 2290 (Bât E2)
Résumé :
We consider the one phase Stefan problem $c\,u_t=\Delta \, (u-1)_+$, where the parameter $c$ represents the specific heat in the liquid phase. We analyze two limits for this problem: (i) the behaviour of solutions to the Stefan problem as the specific heat~$c$ goes to~$0$; (ii) the asymptotic behaviour as $t\to\infty$ of solutions of the Stefan problem when the boundary data are equal to $0$. Joint work with O.~Gil and J.L.~V\'azquez
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