Homogenization of Smoluchowski Equations in Thin Heterogeneous Porous Domains

In a thin heterogeneous porous layer, we carry out multiscale analysis of Smoluchowski’s discrete diffusion–coagulation equations describing the evolution density diffusing particles that are subject to coagulation in pairs. Assuming layer is made up microstructures uniformly distributed inside, obtain limit an upscaled model lower space dimension. We also prove corrector-type result very useful numerical computations. view structure domain, appeal concept two-scale convergence adapted media achieve our goal.