Abstract
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 |
|---|---|
| Pages (from-to) | 657-671 |
| Number of pages | 15 |
| Journal | Quarterly of Applied Mathematics |
| Volume | 53 |
| Issue number | 4 |
| State | Published - 1995 |