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arXiv · 1111.6798

Periodic Homogenization of strongly nonlinear reaction-diffusion equations with large reaction terms

Nils Svanstedt·Jean Louis Woukeng
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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.

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Nils Svanstedt, Jean Louis Woukeng. 2011-11-29. Periodic Homogenization of strongly nonlinear reaction-diffusion equations with large reaction terms. https://doi.org/10.1080/00036811.2012.678334

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