Unfolding-based corrector estimates for a reaction-diffusion system predicting concrete corrosion

T. Fatima, A. Muntean, M. Ptashnyk

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

22 Citaten (Scopus)

Samenvatting

We use the periodic unfolding technique to derive corrector estimates for a reaction–diffusion system describing concrete corrosion penetration in the sewer pipes. The system, defined in a periodically perforated domain, is semi-linear, partially dissipative and coupled to a nonlinear ordinary differential equation posed on the solid–water interface at the pore level. After discussing the solvability of the pore scale model, we apply the periodic unfolding techniques (adapted to treat the presence of perforations) not only to derive macroscopic (upscaled) model equations, but also to prepare a proper framework for obtaining a convergence rate (corrector estimates) of the averaging procedure.
Originele taal-2Engels
Pagina's (van-tot)1129-1154
TijdschriftApplicable Analysis
Volume91
Nummer van het tijdschrift6
DOI's
StatusGepubliceerd - 2012

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