A moving-boundary problem for concrete carbonation: Global existence and uniqueness of weak solutions |
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Authors: | Adrian Muntean,Michael Bö hm |
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Affiliation: | a Centre for Analysis, Scientific Computing and Applications (CASA), Department of Mathematics and Computer Science, Technical University of Eindhoven, PO Box 513, Eindhoven, The Netherlands b Centre for Industrial Mathematics (ZeTeM), Department of Mathematics and Computer Science, University of Bremen, Germany |
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Abstract: | This paper deals with a one-dimensional coupled system of semi-linear parabolic equations with a kinetic condition on the moving boundary. The latter furnishes the driving force for the moving boundary. The main result is a global existence and uniqueness theorem of positive weak solutions. The system under consideration is modelled on the so-called carbonation of concrete - a prototypical chemical-corrosion process in a porous solid - concrete - which incorporates slow diffusive transport, interfacial exchange between wet and dry parts of the pores and, in particular, a fast reaction in thin layers, here idealized as a moving-boundary surface in the solid. We include simulation results showing that the model captures the qualitative behaviour of the carbonation process. |
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Keywords: | Moving-boundary problem Reaction-diffusion equations Stefan-like problem with kinetic condition A priori estimates Concrete carbonation |
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