Degree Type

Dissertation

Date of Award

2010

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Gary M. Lieberman

Second Advisor

Sunder Sethuraman

Abstract

we study homogenization problems of partial differential equations in random domains. We give an overview of the classical techniques that are used to obtain homogenized equations over simple microstructures (for instance, periodic or almost periodic structures) and we show how we can obtain averaging equations over some particular random configurations. As it will be seen, such methods require ergodic theory, percolation, stochastic processes, in addition to the compactness of solutions and the convergence process.

Copyright Owner

Dimitrios Kontogiannis

Language

en

Date Available

2012-04-30

File Format

application/pdf

File Size

60 pages

Included in

Mathematics Commons

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