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

T. Fatima, A. Muntean, M. Ptashnyk

Research output: Book/ReportReportAcademic

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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 via a non-linear 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 get upscaled model equations, but also to prepare a proper framework for getting a convergence rate (corrector estimates) of the averaging procedure. Keywords: Corrector estimates, periodic unfolding, homogenization, sulfate corrosion of concrete, reaction-diffusion systems.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages27
Publication statusPublished - 2011

Publication series

NameCASA-report
Volume1138
ISSN (Print)0926-4507

Fingerprint

Corrector
Corrosion
Unfolding
Reaction-diffusion System
Estimate
Perforated Domains
Nonlinear Ordinary Differential Equations
Semilinear
Homogenization
Penetration
Averaging
Solvability
Convergence Rate
Water
Model

Cite this

Fatima, T., Muntean, A., & Ptashnyk, M. (2011). Unfolding-based corrector estimates for a reaction-diffusion system predicting concrete corrosion. (CASA-report; Vol. 1138). Eindhoven: Technische Universiteit Eindhoven.
Fatima, T. ; Muntean, A. ; Ptashnyk, M. / Unfolding-based corrector estimates for a reaction-diffusion system predicting concrete corrosion. Eindhoven : Technische Universiteit Eindhoven, 2011. 27 p. (CASA-report).
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Fatima, T, Muntean, A & Ptashnyk, M 2011, Unfolding-based corrector estimates for a reaction-diffusion system predicting concrete corrosion. CASA-report, vol. 1138, Technische Universiteit Eindhoven, Eindhoven.

Unfolding-based corrector estimates for a reaction-diffusion system predicting concrete corrosion. / Fatima, T.; Muntean, A.; Ptashnyk, M.

Eindhoven : Technische Universiteit Eindhoven, 2011. 27 p. (CASA-report; Vol. 1138).

Research output: Book/ReportReportAcademic

TY - BOOK

T1 - Unfolding-based corrector estimates for a reaction-diffusion system predicting concrete corrosion

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AU - Muntean, A.

AU - Ptashnyk, M.

PY - 2011

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N2 - 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 via a non-linear 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 get upscaled model equations, but also to prepare a proper framework for getting a convergence rate (corrector estimates) of the averaging procedure. Keywords: Corrector estimates, periodic unfolding, homogenization, sulfate corrosion of concrete, reaction-diffusion systems.

AB - 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 via a non-linear 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 get upscaled model equations, but also to prepare a proper framework for getting a convergence rate (corrector estimates) of the averaging procedure. Keywords: Corrector estimates, periodic unfolding, homogenization, sulfate corrosion of concrete, reaction-diffusion systems.

M3 - Report

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

PB - Technische Universiteit Eindhoven

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Fatima T, Muntean A, Ptashnyk M. Unfolding-based corrector estimates for a reaction-diffusion system predicting concrete corrosion. Eindhoven: Technische Universiteit Eindhoven, 2011. 27 p. (CASA-report).