Graduate Seminar Analysis

Tuesday Mar 3, 2015, 02.00 pm

Analysis of a Cahn-Hilliard/Allen-Cahn equation

Yuko Nagase (Osaka City University, Advanced Mathematical Institute (OCAMI))

Abstract: In this talk I will present some analyses of a Cahn-Hilliard/Allen-Cahn equation
which was introduced by Karali and Katsoulakis. The limit evolution of the equation under
a suitable scaling is also mean curvature flow, similarly to the Allen-Cahn equation but a
different coefficient constant appears, which speeds up the mean curvature flow. We will
show some analyses, that is, existence of solution and asymptotic behaviors. As next step,
we will consider a stochastic version of the equation. I will present some recent known
results of the existence of solution and related results.

Zeit: 14:00 Uhr

OrtSeminarraum 001, Erdgeschoss,  Pontdriesch 14-16 , 52062 Aachen