| Abstract: |
| We study the periodic homogenization of a reaction-diffusion problem with nonlinear drift posed in an unbounded perforated domain. We are interested in deriving rigorously the upscaled model equations and the corresponding effective coefficients for the case when the microscopic dynamics are linked to a particular choice of characteristic length and time scales that lead to a fast exploding drift. The main mathematical difficulty lies in proving the two-scale compactness results needed for the passage to the homogenization limit. Our setting is closely related to the works by Marusik-Paloka and Piatnitskii as well as by V. Raveendran.\
The results are presented in a recent joint work with E.N.M. Cirillo, A. Muntean and V. Raveendran. |
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