The dynamic phi^4 model comes down from infinity
Speaker:
Jean-Christophe Mourrat, ENS Lyon
Date and Time:
Tuesday, October 17, 2017 - 3:30pm to 4:30pm
Location:
Fields Institute, Room 230
Abstract:
The dynamic phi^4 model is a parabolic stochastic PDE with a cubic non-linearity and an additive white-noise forcing. We will focus on the case where the space variable ranges in the 3-dimensional torus. Due to the roughness of the noise, the equation needs to be renormalised in order to make sense. I will review this and discuss the proof that the solution "comes down from infinity": measured in the right norm, the solution decays essentially like (1+t)^{-1/2}, uniformly over the initial condition. This is joint work with Hendrik Weber.