A class of moving-boundary problems arising in the chemical corrosion of
unsaturated porous materials: modeling, analysis and simulation.
Abstract:
Here you have my abstract:
We deal with a one-dimensional coupled system of semi-linear reaction-diffusion equations in two a priori unknown moving phases driven by a non-local kinetic condition. The PDEs system models the penetration of gaseous carbon dioxide in unsaturated porous materials (like concrete). The main issue is that the strong competition between carbon dioxide diffusion and the fast reaction of carbon dioxide with calcium hydroxide, which are the main active reactants, leads to a sudden drop (steep gradients!) in concrete's alkalinity near the steel reinforcement. This process - called concrete carbonation - facilitates chemical corrosion and drastically influences the lifetime of the material.
We present details of a class of moving-boundary models with kinetic condition at the moving boundary and address the local existence, uniqueness and stability of positive weak solutions. We also point out our concept of global solvability.
The application of such moving-boundary systems to the prediction of carbonation penetration into ordinary Portland concrete samples is illustrated numerically.
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