Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Analysis-Seminar Augsburg-München


Christian Hamster
Leiden University

spricht am
Donnerstag, 17. Oktober 2019
16:30 Uhr
Raum 2004 (L1)
über das Thema:

»Travelling waves in stochastic bistable reaction-diffusion equations«

In this talk I will discuss the techniques I developped in the recent years with Hermen Jan Hupkes for studying traveling waves in stochastic reaction-diffusion equations. After a short introduction into the deterministic theory for travelling waves, I'll show how we define a phase for the stochastic wave, and how this leads to a natural definition for a stochastic travelling wave. These stochastic travelling waves can be shown to be very regular perturbations of the deterministic speed and profile of the wave. Furthermore, our framework allows us to prove theorems on the stability and we have strong conjectures on the long time dynamics of the solutions. The theoretical development is backed by simulations, which show how our theory can be applied to equations such as the (FitzHugh-)Nagumo equation.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Dirk Blömker

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).

[Impressum]      [Datenschutz],     Fr 11-Okt-2019 13:23:01 MESZ