Large time behavior of solutions to a moving-interface problem modeling concrete carbonation

Toyohiko Aiki; Adrian Muntean

doi:10.3934/cpaa.2010.9.1117

Article Contents

2010, Volume 9, Issue 5: 1117-1129. Doi: 10.3934/cpaa.2010.9.1117

This issue Previous Article Preface Next Article Homogenization limit and asymptotic decay for electrical conduction in biological tissues in the high radiofrequency range

Large time behavior of solutions to a moving-interface problem modeling concrete carbonation

Toyohiko Aiki^1, and
Adrian Muntean^2,

1.
Department of Mathematics, Faculty of Education, Gifu University, Yanagido 1-1, Gifu, 501-1193
2.
CASA - Centre for Analysis, Scientific computing and Applications, Department of Mathematics and Computer Science, Institute of Complex Molecular Systems, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven

Received: July 31, 2009

Revised: December 31, 2009

Published: August 2010

Abstract Related Papers Cited by

Abstract

We study the large time behavior of the weak solutions to a one-phase moving sharp-interface PDE system describing the aggressive penetration of gaseous carbon dioxide in unsaturated concrete. The key of the proof is a global uniform estimate for solutions obtained by using the maximum principle. The analysis reported here relies on the global existence and uniqueness of solutions that we have proved previously.

Keywords:

Mathematics Subject Classification: Primary: 35R35; Secondary: 35B40, 76S05.

Citation:

Article Metrics

HTML views() PDF downloads(180) Cited by(0)

Large time behavior of solutions to a moving-interface problem modeling concrete carbonation

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Large time behavior of solutions to a moving-interface problem modeling concrete carbonation

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content