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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 7
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Articles

Periodic homogenization of strongly nonlinear reaction–diffusion equations with large reaction terms

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Pages 1357-1378 | Received 14 Oct 2011, Accepted 19 Mar 2012, Published online: 11 Apr 2012
 

Abstract

We study in this article the periodic homogenization problem related to a strongly nonlinear reaction–diffusion equation. Owing to the large reaction term, the homogenized equation has a rather quite different form which puts together both the reaction and convection effects. We show in a special case that the homogenized equation is exactly of a convection-diffusion type. This study relies on a suitable version of the well-known two-scale convergence method.

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Acknowledgements

We thank the referees for several suggestions and interesting remarks.

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