Geodesic
A free-boundary problem for concrete carbonation: Front nucleation and rigorous justification of the $\sqrt{{t}}$-law of propagation
Toyohiko Aiki1 ; Adrian Muntean2
1Japan's Women's University, Tokyo, Japan
2Eindhoven University of Technology, Netherlands
Interfaces and free boundaries, Tome 15 (2013) no. 2, pp. 167-180

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DOI

We study a one-dimensional free-boundary problem describing the penetration of carbonation fronts (free reaction-triggered interfaces) in concrete. Using suitable integral estimates for the free boundary and involved concentrations, we reach a twofold aim:
DOI : 10.4171/ifb/299
Classification : 35-XX
Mots-clés : Large-time behavior; free-boundary problem; concrete carbonation; integral estimates

Toyohiko Aiki  1   ; Adrian Muntean  2

1 Japan's Women's University, Tokyo, Japan
2 Eindhoven University of Technology, Netherlands 
Toyohiko Aiki; Adrian Muntean. A free-boundary problem for concrete carbonation: Front nucleation and rigorous justification of the $\sqrt{{t}}$-law of propagation. Interfaces and free boundaries, Tome 15 (2013) no. 2, pp. 167-180. doi: 10.4171/ifb/299
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     author = {Toyohiko Aiki and Adrian Muntean},
     title = {A free-boundary problem for concrete carbonation: {Front} nucleation and rigorous justification of the $\sqrt{{t}}$-law of propagation},
     journal = {Interfaces and free boundaries},
     pages = {167--180},
     year = {2013},
     volume = {15},
     number = {2},
     doi = {10.4171/ifb/299},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/299/}
}
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