Stochastic perturbations of the Allen-Cahn equation
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Mon, 28/02/2011 17:00 |
Matthias Röger (Technische Universität Dormund) |
Partial Differential Equations Seminar  |
Gibson 1st Floor SR |
| In this talk we will first consider the Allen-Cahn action functional that controls the probability of rare events in an Allen-Cahn type equation with additive noise. Further we discuss a perturbation of the Allen-Cahn equation by a stochastic flow. Here we will present a tightness result in the sharp interface limit and discuss the relation to a version of stochastically perturbed mean curvature flow. (This is joint work with Luca Mugnai, Leipzig, and Hendrik Weber, Warwick.) | |||