Periodic Homogenization of strongly nonlinear reaction-diffusion equations with large reaction terms
Analysis of PDEs
2012-05-01 v1
Abstract
We study in this paper 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. The study relies on a suitable version of the well-known two-scale convergence method.
Keywords
Cite
@article{arxiv.1111.6798,
title = {Periodic Homogenization of strongly nonlinear reaction-diffusion equations with large reaction terms},
author = {Nils Svanstedt and Jean Louis Woukeng},
journal= {arXiv preprint arXiv:1111.6798},
year = {2012}
}
Comments
19 pages