Applied and Interdisciplinary Mathematics Seminar

University of Michigan

Winter 2006
Friday, 20 January, 3:10-4:00pm, 1084 East Hall

The mushy zone free-boundary problem.

Tim Schulze

University of Tennessee


Abstract

Mushy zones are porous layers of dendritic crystals that commonly form during the solidification of multi-component melts. Much of the research on this topic has modeled the mushy zone as a homogenized liquid-solid phase. We focus on this this free-boundary formulation and discuss issues that arise at the moving boundary between the mushy zone and an adjacent liquid region.