## Rocky Mountain Journal of Mathematics

### Expository Paper: A primer on homogenization of elliptic PDEs with stationary and ergodic random coefficient functions

Alen Alexanderian

#### Abstract

We study the problem of characterizing the effective (homogenized) properties of materials whose diffusive properties are modeled with random fields. Focusing on elliptic PDEs with stationary and ergodic random coefficient functions, we provide a gentle introduction to the mathematical theory of homogenization of random media. We also present numerical examples to elucidate the theoretical concepts and results.

#### Article information

Source
Rocky Mountain J. Math., Volume 45, Number 3 (2015), 703-735.

Dates
First available in Project Euclid: 21 August 2015

https://projecteuclid.org/euclid.rmjm/1440168291

Digital Object Identifier
doi:10.1216/RMJ-2015-45-3-703

Mathematical Reviews number (MathSciNet)
MR3385965

Zentralblatt MATH identifier
1354.37085

#### Citation

Alexanderian, Alen. Expository Paper: A primer on homogenization of elliptic PDEs with stationary and ergodic random coefficient functions. Rocky Mountain J. Math. 45 (2015), no. 3, 703--735. doi:10.1216/RMJ-2015-45-3-703. https://projecteuclid.org/euclid.rmjm/1440168291

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