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Seminar

The relation between the Cahn-Hilliard equation and CMC surfaces

17/06/2019

Title

The relation between the Cahn-Hilliard equation and CMC surfaces


Speaker

Matteo Rizzi - Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile


Abstract

In the talk I will show the links between the Cahn-Hilliard equation -εΔu=ε^(-1) (u-u3)-l_ε,l_ε∈R, and constant mean curvature surfaces. In particular, I will present a paper in which I constructed a family of entire solutions in R^3 whose zero level set approaches, as ε → 0, a given complete, embedded, k-ended constant mean curvature surface. It is a joint work with Michal Kowalczyk. Moreover, I will discuss some classification results about the same equation.


Bio


When

2019-06-17 at 3:00 pm (subject to variability)


Where

Genova