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

T. Fatima, A. Muntean, M. Ptashnyk

Research output: Contribution to journalArticleAcademicpeer-review

20 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)1129-1154
JournalApplicable Analysis
Volume91
Issue number6
DOIs
Publication statusPublished - 2012

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