Higher order homogenization for random non-autonomous parabolic operators
Probability
2023-01-09 v3 Analysis of PDEs
Abstract
We consider Cauchy problem for a divergence form second order parabolic operator with rapidly oscillating coefficients that are periodic in spatial variables and random stationary ergodic in time. As was proved in [24] and [12] in this case the homogenized operator is deterministic. The paper focuses on non-diffusive scaling, when the oscillation in spatial variables is faster than that in temporal variable. Our goal is to study the asymptotic behaviour of the normalized difference between solutions of the original and the homogenized problems.
Cite
@article{arxiv.1612.07478,
title = {Higher order homogenization for random non-autonomous parabolic operators},
author = {Marina Kleptsyna and Andrey Piatnitski and Alexandre Popier},
journal= {arXiv preprint arXiv:1612.07478},
year = {2023}
}