On averaging and mixing for stochastic PDEs
Probability
2022-04-07 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We examine the convergence in the Krylov--Bogolyubov averaging for nonlinear stochastic perturbations of linear PDEs with pure imaginary spectrum and show that if the involved effective equation is mixing, then the convergence is uniform in time.
Keywords
Cite
@article{arxiv.2203.15622,
title = {On averaging and mixing for stochastic PDEs},
author = {Guan Huang and Sergei Kuksin},
journal= {arXiv preprint arXiv:2203.15622},
year = {2022}
}