Periodic homogenization of strongly nonlinear reaction–diffusion equations with large reaction terms |
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Authors: | Nils Svanstedt |
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Institution: | Department of Mathematical Sciences , G?teborg University , SE-412 96 G?teborg , Sweden |
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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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Keywords: | homogenization reaction–diffusion nonlinear |
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