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Rigorous upscaling of the reactive flow through a pore, under dominant Péclet and Damköhler numbers. (English) Zbl 1120.35007
The authors present a rigorous derivation of the effective model for enhanced diffusion through a narrow and long 2D pore. The analysis uses a singular perturbation technique. And the authors give a rigorous mathematical justification of the effective behavior for small $$\varepsilon$$. Error estimates are presented in the energy norm as well as in $$L^{ \infty}$$ and $$L^{1}$$ norms of the space variable.
Reviewer: Jiaqi Mo (Wuhu)

MSC:
 35B25 Singular perturbations in context of PDEs 92E20 Classical flows, reactions, etc. in chemistry 76F25 Turbulent transport, mixing
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