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Graduate Seminar

Giovanni Gravina
Carnegie Mellon University
Title: Semigroup methods for the viscous Cahn-Hilliard equation

Abstract: In this talk, we will discuss existence and uniqueness of solutions to the viscous Cahn-Hilliard equation. This is a system of two partial differential equations, which can be seen as an interpolation between the Allen-Cahn equation and the Cahn-Hilliard equation. Although the interest in this problem is motivated by the physical processes that are modeled by these equations, the purpose they'll serve for the talk is to provide a context to introduce some of the techniques one can use to tackle evolutionary problems. In particular, I will show how the theory of analytic semigroups and ODEs in Banach spaces can be applied to the study of PDEs.

Date: Tuesday, December 8, 2015
Time: 5:30 pm
Location: Wean Hall 8220
Submitted by:  Zilin Jiang