Some criteria for the disappearance of the mushy region in the Stefan problem Academic Article uri icon

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 ${C^ 2} $-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 twodimensional solution near a corner point of the domain are also investigated.

publication date

  • January 1, 1995