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

T. Fatima, A. Muntean, M. Ptashnyk

Research output: Contribution to journalArticleAcademicpeer-review

19 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

Fingerprint

Corrector
Corrosion
Unfolding
Reaction-diffusion System
Concretes
Perforated Domains
Sewers
Nonlinear Ordinary Differential Equations
Ordinary differential equations
Semilinear
Penetration
Estimate
Averaging
Solvability
Convergence Rate
Pipe
Model
Framework

Cite this

Fatima, T. ; Muntean, A. ; Ptashnyk, M. / Unfolding-based corrector estimates for a reaction-diffusion system predicting concrete corrosion. In: Applicable Analysis. 2012 ; Vol. 91, No. 6. pp. 1129-1154.
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Unfolding-based corrector estimates for a reaction-diffusion system predicting concrete corrosion. / Fatima, T.; Muntean, A.; Ptashnyk, M.

In: Applicable Analysis, Vol. 91, No. 6, 2012, p. 1129-1154.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Muntean, A.

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