In a perforated domain, we consider a reaction-diffusion system with rapidly oscillating terms in the equations and boundary conditions. No Lipschitz condition is imposed, so the uniqueness of a solution to the corresponding initial-boundary value problem is not guaranteed. We prove that the trajectory attractors of the system weakly converge to the trajectory attractors of the homogenized reaction-diffusion systems with a strange term (potential).
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Translated from Problemy Matematicheskogo Analiza 112, 2021, pp. 35-50.
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Bekmaganbetov, K.A., Chepyzhov, V.V. & Chechkin, G.A. Homogenization of Attractors of Reaction–Diffusion System with Rapidly Oscillating Terms in an Orthotropic Porous Medium. J Math Sci 259, 148–166 (2021). https://doi.org/10.1007/s10958-021-05607-9
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DOI: https://doi.org/10.1007/s10958-021-05607-9