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Graduate Seminar

Giovanni Gravina
Carnegie Mellon University
Title: The one-phase Stefan problem

Abstract: The classical Stefan problem aims to describe the temperature distribution in a homogenous medium undergoing a phase transition. To fix ideas, consider an ice-water mixture in a thermally insulated container with prescribed boundary conditions and non-negative initial temperatures. The main difficulty in solving this problem is that the interface between the two phases is an unknown hyper-surface that evolves with time, as ice passes to water. For this reason the Stefan problem is an example of a free boundary problem.

To tackle this problem, we'll introduce the concept of a variational inequality and briefly discuss existence and uniqueness theorems.

Date: Tuesday, March 29, 2016
Time: 5:30 pm
Location: Wean Hall 8220
Submitted by:  Yangxi Ou
Note: Video on Youtube: https://youtu.be/3jRkPYMOTKk