Carnegie Mellon
Department of Mathematical 

James Greenberg, Department of Mathematical Sciences, Carnegie Mellon University

"Phase Transitions with Semi-Diffuse Interfaces"


In this paper we examine new ``phase-field" models with semi-diffuse interfaces. These models have the property that the $ -1/+1$ planar phase transitions take place over a finite interval. The models also support multiple interface solutions with interfaces centered at arbitrary points $ L_1 < L_2 < \ldots < L_N$. The classical models have no such exact solutions. These stationary solutions are minima of the entropy functional which characterizes the system and are dynamically stable.

TUESDAY, October 30, 2001
Time: 1:30 P.M.
Location: Physical Plant Building 300