LARGE TIME BEHAVIOR OF SOLUTIONS TO A MOVING-INTERFACE PROBLEM MODELING CONCRETE CARBONATION

被引:20
作者
Aiki, Toyohiko [1 ]
Muntean, Adrian [2 ]
机构
[1] Gifu Univ, Fac Educ, Dept Math, Gifu 5011193, Japan
[2] Eindhoven Univ Technol, Inst Complex Mol Syst, Dept Math & Comp Sci, CASA Ctr Anal Sci Comp & Applicat, NL-5600 MB Eindhoven, Netherlands
关键词
Free boundary problem; large time behavior; maximum principle;
D O I
10.3934/cpaa.2010.9.1117
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
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页码:1117 / 1129
页数:13
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