Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Date/Time: 
Friday, January 9, 2009 - 04:00
Location: 
Gilkey 113
Abstract: 

The classical Stefan free-boundary problem describes the conduction of heat through a medium in which a phase change occurs at a prescribed temperature. Here is considered the more general case in which the freezing temperature lies strictly below the melting temperature, so the entropy is given by a hysteresis functional which permits super-cooling or super-heating of the medium. The model is developed and formulated as an evolution system in $L^1$, and well-posedness results are described.