Sharp interface limit for a stochastic Allen-Cahn Equation

  • Hendrik Weber (Universität Bonn, Bonn, Germany)
G3 10 (Lecture hall)


A description of the short time behavior of solutions of the Allen-Cahn equation with a smoothened additive noise is presented. The key result is that in the sharp interface limit solutions move according to motion by mean curvature with an additional stochastic forcing. This extends a similar result of Funaki in spatial dimension 2 to arbitrary dimensions.

Katja Bieling

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Patrick Dondl

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Stephan Luckhaus

Universität Leipzig

Max von Renesse

Technische Universität Berlin