A moving-boundary problem for concrete carbonation: Global existence and uniqueness of weak solutions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:350

Article

Muntean, Adrian¹  Boehm, Michael² 

[1] Tech Univ Eindhoven, Dept Math & Comp Sci, CASA, NL-5600 MB Eindhoven, Netherlands

[2] Univ Bremen, Dept Math & Comp Sci, Ctr Ind Math ZeTeM, D-2800 Bremen 33, Germany

关键词: Moving-boundary problem;    Reaction-diffusion equations;    Stefan-like problem with kinetic condition;    A priori estimates;    Concrete carbonation;   

DOI  :  10.1016/j.jmaa.2008.09.044

来源: Elsevier

【 摘 要 】

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. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free