A mathematical model of carbon dioxide transport in concrete carbonation process
Author:
Open Access
- 1 January 2014
- journal article
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems - S
- Vol. 7 (1) , 113-125
Abstract
In this paper we prove the existence of a solution for a mathematical model of carbon dioxide transport in concrete carbonation process. This model is a parabolic type equation with a nonlinear perturbation such that a coefficient of the time derivative contains a non-local term depending on the unknown function itself.Keywords
This publication has 6 references indexed in Scilit:
- A free-boundary problem for concrete carbonation: Front nucleation and rigorous justification of the $\sqrt{{t}}$-law of propagationInterfaces and Free Boundaries, Mathematical Analysis, Computation and Applications, 2013
- Mathematical model for hysteresis phenomenon in moisture transport of concrete carbonation processPhysica B: Condensed Matter, 2012
- Large time behavior of solutions to a moving-interface problem modeling concrete carbonationCommunications on Pure and Applied Analysis, 2010
- A moving-boundary problem for concrete carbonation: Global existence and uniqueness of weak solutionsJournal of Mathematical Analysis and Applications, 2009
- Multi-scale Modeling of Concrete PerformanceJournal of Advanced Concrete Technology, 2003
- Linear and Quasi-linear Equations of Parabolic Type1968