Séminaire Analyse non linéaire et EDP

In this talk we consider a stochastically perturbed Allen-Cahn equation. Theclassical Allen-Cahn equation describes phase separation of non-conservedfields. In the so-called sharp interface limit solutions converge tosolutions of mean curvature flow. We consider here additional random effectsin form of a perturbation by a stochastic flow. We present a tightnessresult in the sharp interface limit and discuss the relation to a version ofstochastically perturbed mean curvature flow. (This is joint work withHendrik Weber from Warwick.)