The averaging principle for SDEs with monotone coefficients
Speaker:
Zhenxin Liu, Dalian University of Technology
Date and Time:
Wednesday, August 16, 2023 - 2:40pm to 3:20pm
Location:
Fields Institute, Room 230
Abstract:
Averaging principle is an effective method for investigating multi-scale dynamical systems. In this talk, we will discuss three types of averaging principle for monotone stochastic differential equations, which includes monotone SPDEs, stochastic complex Ginzburg-Landau equations and finite dimensional monotone SDEs. Furthermore, we investigate the small fluctuations of the monotone SDEs around its average, and show that the normalized difference weakly converges to an Ornstein-Uhlenbeck type process, which can be viewed as a functional central limit theorem. This talk is based on joint works with Mengyu Cheng and Michael Röckner.