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From averaging to homogenization in cellular flows - an exact description of the transition
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Hairer, Martin, Koralov, L. and Pajor-Gyulai, Z. (2015) From averaging to homogenization in cellular flows - an exact description of the transition. Annales de l’Institut Henri Poincaré - Probabilites et Statistiques, 52 (4). pp. 1592-1613. doi:10.1214/15-AIHP690 ISSN 0246-0203.
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Official URL: https://doi.org/10.1214/15-AIHP690
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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Annales de l’Institut Henri Poincaré - Probabilites et Statistiques | ||||
Publisher: | Institute of Mathematical Statistics | ||||
ISSN: | 0246-0203 | ||||
Official Date: | 27 May 2015 | ||||
Dates: |
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Volume: | 52 | ||||
Number: | 4 | ||||
Page Range: | pp. 1592-1613 | ||||
DOI: | 10.1214/15-AIHP690 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Date of first compliant deposit: | 15 October 2018 | ||||
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