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arxiv: 1111.6798 · v1 · pith:PDDHWE6Hnew · submitted 2011-11-29 · 🧮 math.AP

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

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keywords equationreactionhomogenizationhomogenizedlargenonlinearperiodicreaction-diffusion
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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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