Communications on Pure and Applied Analysis (CPAA)

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

Pages: 1117 - 1129, Volume 9, Issue 5, September 2010      doi:10.3934/cpaa.2010.9.1117

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Toyohiko Aiki - Department of Mathematics, Faculty of Education, Gifu University, Yanagido 1-1, Gifu, 501-1193, Japan (email)
Adrian Muntean - 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, Netherlands (email)

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:  Free boundary problem, large time behavior, maximum principle.
Mathematics Subject Classification:  Primary: 35R35; Secondary: 35B40, 76S05.

Received: August 2009;      Revised: January 2010;      Available Online: May 2010.