From averaging to homogenization in cellular flows - an exact description of the transition
Probability
2014-07-04 v1 Analysis of PDEs
Abstract
We consider a two-parameter averaging-homogenization type elliptic problem together with the stochastic representation of the solution. A limit theorem is derived for the corresponding diffusion process and a precise description of the two-parameter limit behavior for the solution of the PDE is obtained.
Cite
@article{arxiv.1407.0982,
title = {From averaging to homogenization in cellular flows - an exact description of the transition},
author = {Martin Hairer and Leonid Koralov and Zsolt Pajor-Gyulai},
journal= {arXiv preprint arXiv:1407.0982},
year = {2014}
}