Premium
A moving two‐reaction zones model: global existence of solutions
Author(s) -
Muntean Adrian,
Böhm Michael
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610305
Subject(s) - carbonation , a priori and a posteriori , nonlinear system , feature (linguistics) , boundary (topology) , coupling (piping) , mathematics , computer science , mathematical analysis , physics , chemical engineering , engineering , mechanical engineering , philosophy , linguistics , epistemology , quantum mechanics
We address some aspects concerning the analysis of a moving‐boundary system modeling concrete carbonation. The model is based on the fact that carbonation might be considered as a reaction which is localized on two distinct a priori unknown internal zones which progress into concrete. We report on the existence of local and global weak solutions. The main feature of the problem is that the nonlinear coupling of the system occurs due to the moving boundary and nonlinearity of the involved productions. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)