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

DOI10.1080/00036811.2011.625016zbMath1258.35016arXiv1106.3233OpenAlexW2056254579WikidataQ58190295 ScholiaQ58190295MaRDI QIDQ2908189

Tasnim Fatima, Mariya Ptashnyk, Adrian Muntean

Publication date: 4 September 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3233

zbMATH Keywords

variational formulationcorrosion processsewer pipe

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Effective constitutive equations in solid mechanics (74Q15) A priori estimates in context of PDEs (35B45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Chemical and reactive effects in solid mechanics (74F25) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

• Homogenization of a reaction-diffusion system modeling sulfate corrosion of concrete in locally periodic perforated domains
• On a moving-boundary system modeling corrosion in sewer pipes
• Interior error estimate for periodic homogenization
• Sulfate attack in sewer pipes: derivation of a concrete corrosion model via two-scale convergence
• Periodic unfolding and Robin problems in perforated domains
• The Periodic Unfolding Method in Domains with Holes
• Homogenisation of a locally periodic medium with areas of low and high diffusivity
• Derivation of a Macroscopic Receptor-Based Model Using Homogenization Techniques
• The Periodic Unfolding Method in Homogenization

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