The disappearance of the mushy region in a multidimensional one-phase Stefan problem is discussed. In the case of a piecewise-smooth boundary of the domain and bounded initial-boundary data, sufficient conditions for the disappearance of the mushy zone in a finite time are presented. For a C2-smooth boundary and appropriately smooth boundary data both necessary and sufficient conditions for the mush to vanish are obtained. Possible behaviors of the transient phase for a two dimensional solution near a corner point of the domain are also investigated.
|Original language||English GB|
|Number of pages||15|
|Journal||Quarterly of Applied Mathematics|
|State||Published - 1995|