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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 6: Analysis and Approximation of Microstructure Models
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Original Articles

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

Tasnim Fatima Centre for Analysis, Scientific computing and Applications, Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
,
Adrian Muntean Centre for Analysis, Scientific computing and Applications, Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands; Institute for Complex Molecular Systems, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
&
Mariya Ptashnyk Department of Mathematics I, RWTH Aachen, D-52056 Aachen, GermanyCorrespondence[email protected]
Pages 1129-1154 | Received 16 Jun 2011, Accepted 09 Sep 2011, Published online: 14 Oct 2011

Citations (19)

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Ekeoma Rowland Ijioma, Adrian Muntean & Toshiyuki Ogawa. (2013) Pattern formation in reverse smouldering combustion: a homogenisation approach. Combustion Theory and Modelling 17:2, pages 185-223.
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Articles from other publishers (18)

N. Ghosh & H.S. Mahato. (2024) Corrector estimates and numerical simulations of a system of diffusion–reaction–dissolution–precipitation model in a porous medium. Journal of Computational and Applied Mathematics 440, pages 115501.
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Victor A. Kovtunenko, Sina Reichelt & Anna V. Zubkova. (2019) Corrector estimates in homogenization of a nonlinear transmission problem for diffusion equations in connected domains. Mathematical Methods in the Applied Sciences 43:4, pages 1838-1856.
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Mariya Ptashnyk & Chandrasekhar Venkataraman. (2020) Multiscale Analysis and Simulation of a Signaling Process With Surface Diffusion. Multiscale Modeling & Simulation 18:2, pages 851-886.
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G. Cardone, C. Perugia & C. Timofte. (2019) Homogenization results for a coupled system of reaction–diffusion equations. Nonlinear Analysis 188, pages 236-264.
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Renata Bunoiu & Claudia Timofte. (2019) Upscaling of a diffusion problem with interfacial flux jump leading to a modified Barenblatt model. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 99:2, pages e201800018.
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Adrian Muntean & Sina Reichelt. (2018) Corrector Estimates for a Thermodiffusion Model with Weak Thermal Coupling. Multiscale Modeling & Simulation 16:2, pages 807-832.
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Sina Reichelt. (2017) Corrector estimates for a class of imperfect transmission problems. Asymptotic Analysis 105:1-2, pages 3-26.
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Claudia Timofte. (2017) Multiscale analysis of a carcinogenesis model. Mathematics and Computers in Simulation 133, pages 298-310.
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Vo Anh Khoa & Adrian Muntean. (2016) Asymptotic analysis of a semi-linear elliptic system in perforated domains: Well-posedness and correctors for the homogenization limit. Journal of Mathematical Analysis and Applications 439:1, pages 271-295.
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Hongwei Feng, Leilei Cui & Min Zhang. (2016) Steel Corrosion Behavior Measurement Based on Electrochemical Approach. International Journal of Electrochemical Science 11:6, pages 4658-4666.
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Sina Reichelt. (2016) Error estimates for nonlinear reaction-diffusion systems involving different diffusion length scales. Journal of Physics: Conference Series 727, pages 012013.
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Christos V. Nikolopoulos. (2014) Macroscopic models for a mushy region in concrete corrosion. Journal of Engineering Mathematics 91:1, pages 143-163.
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Mariya Ptashnyk. (2015) Locally Periodic Unfolding Method and Two-Scale Convergence on Surfaces of Locally Periodic Microstructures. Multiscale Modeling & Simulation 13:3, pages 1061-1105.
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Claudia Timofte. (2014) Homogenization results for ionic transport in periodic porous media. Computers & Mathematics with Applications 68:9, pages 1024-1031.
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Christos V. Nikolopoulos. (2014) Mathematical modelling of a mushy region formation during sulphation of calcium carbonate. Networks & Heterogeneous Media 9:4, pages 635-654.
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Alexander Mielke, Sina Reichelt & Marita Thomas. (2014) Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. Networks & Heterogeneous Media 9:2, pages 353-382.
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A. MUNTEAN & T. L. VAN NOORDEN. (2013) Corrector estimates for the homogenization of a locally periodic medium with areas of low and high diffusivity. European Journal of Applied Mathematics 24:5, pages 657-677.
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Florian Frank, Nadja Ray & Peter Knabner. (2013) Numerical investigation of homogenized Stokes–Nernst–Planck–Poisson systems. Computing and Visualization in Science 14:8, pages 385-400.
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