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- Aiki, Toyohiko, et al.
(författare)
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Large-time asymptotics of moving-reaction interfaces involving nonlinear Henry’s law and time-dependent Dirichlet data
- 2013
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Ingår i: Nonlinear Analysis. - : Elsevier. - 0362-546X .- 1873-5215. ; 93, s. 3-14
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Tidskriftsartikel (refereegranskat)abstract
- We study the large-time behavior of the free boundary position capturing the one-dimensional motion of the carbonation reaction front in concrete-based materials. We extend here our rigorous justification of the t-behavior of reaction penetration depths by including nonlinear effects due to deviations from the classical Henry's law and time-dependent Dirichlet data.
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- Aiki, Toyohiko, et al.
(författare)
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On uniqueness of a weak solution of one-dimensional concrete carbonation problem
- 2011
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Ingår i: Discrete and Continuous Dynamical Systems. - : American Institute of Mathematical Sciences. - 1078-0947 .- 1553-5231. ; 29:4, s. 1345-1365
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Tidskriftsartikel (refereegranskat)abstract
- In our previous works we studied a one-dimensional free-boundary model related to the aggressive penetration of gaseous carbon dioxide in unsaturated concrete. Essentially, global existence and uniqueness of weak solutions to the model were obtained when the initial functions are bounded on the domain. In this paper we investigate the well-posedness of the problem for the case when the initial functions belong to a class. Specifically, the uniqueness of weak solutions is proved by applying the dual equation method.
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- Aiki, T., et al.
(författare)
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Preface
- 2012
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Ingår i: Discrete and Continuous Dynamical Systems. Series S. - : American Institute of Mathematical Sciences (AIMS). - 1937-1632 .- 1937-1179. ; 5:1, s. 1-
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Tidskriftsartikel (refereegranskat)
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- Bourne, D., et al.
(författare)
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Is adding charcoal to soil a good method for CO2 sequestration? - : Modeling a spatially homogeneous soil
- 2014
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Ingår i: Applied Mathematical Modelling. - : Elsevier. - 0307-904X .- 1872-8480. ; 38:9-10, s. 2463-2475
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Tidskriftsartikel (refereegranskat)abstract
- Carbon sequestration is the process of capture and long-term storage of atmospheric carbon dioxide (CO2) with the aim to avoid dangerous climate change. In this paper, we propose a simple mathematical model (a coupled system of nonlinear ODEs) to capture some of the dynamical effects produced by adding charcoal to fertile soils. The main goal is to understand to which extent charcoal is able to lock up carbon in soils. Our results are preliminary in the sense that we do not solve the CO2 sequestration problem. Instead, we do set up a flexible modeling framework in which the interaction between charcoal and soil can be tackled by means of mathematical tools.We show that our model is well-posed and has interesting large-time behaviour. Depending on the reference parameter range (e.g., type of soil) and chosen time scale, numerical simulations suggest that adding charcoal typically postpones the release of CO2. © 2013 Elsevier Inc.
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- Chalupecky, Vladimir, et al.
(författare)
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Macroscopic corrosion front computations of sulfate attack in sewer pipes based on a micro-macro reaction-diffusion model
- 2012
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Ingår i: Multiscale Mathematics. - : Kyushu University, Japan. ; , s. 22-31
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Konferensbidrag (refereegranskat)abstract
- We consider a two-scale reaction diffusion system able to capture the corrosion of concrete with sulfates. Our aim here is to define and compute two macroscopic corrosion indicators: typical pH drop and gypsum profiles. Mathematically, the system is coupled, endowed with micro-macro transmission conditions, and posed on two different spatially-separated scales: one microscopic (pore scale) and one macroscopic (sewer pipe scale). We use a logarithmic expression to compute values of pH from the volume averaged concentration of sulfuric acid which is obtained by resolving numerically the two-scale system (microscopic equations with direct feedback with the macroscopic diffusion of one of the reactants). Furthermore, we also evaluate the content of the main sulfatation reaction (corrosion) product---the gypsum---and point out numerically a persistent kink in gypsum's concentration profile. Finally, we illustrate numerically the position of the free boundary separating corroded from not-yet-corroded regions.
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