Publication Cover
Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 7
260
Views
3
CrossRef citations to date
0
Altmetric
Articles

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

&
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.

AMS Subject Classifications::

Acknowledgements

We thank the referees for several suggestions and interesting remarks.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.