A mathematical model of carbon dioxide transport in concrete carbonation process

Kota Kumazaki

doi:10.3934/dcdss.2014.7.113

Article Contents

2014, Volume 7, Issue 1: 113-125. Doi: 10.3934/dcdss.2014.7.113

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A mathematical model of carbon dioxide transport in concrete carbonation process

Kota Kumazaki^1,

1.
Natural and Physical Sciences, Tomakomai National College of Technology, 443, Nishikioka, Tomakomai-shi, Hokkaido, 059-1275

Received: January 31, 2012

Revised: September 30, 2012

Published: January 2014

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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:

Nonlinear parabolic equations,
boundary value problem for nonlinear parabolic PDE,
existence of solutions,
uniqueness of solutions,
concrete carbonation.

Mathematics Subject Classification: 35K55.

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References

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