%0 Journal Article %T Asimptotic convergence to travelling waves for the Stefan problem and related problems %A Riccardo Ricci %J Le Matematiche %D 1991 %I University of Catania %X We investigate the stability of traveling wave solutions of the one-dimensional supercooled Stefan problem and other related problem. A complete characterization of the set of initial data under which the free boundary is asymptotic to a traveling wave front is found. The method applies also to other types of solutions like similarity solutions. %U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/628