Existence and uniqueness for a concrete carbonation process with hysteresis

Toyohiko Aiki, Sergey A. Timoshin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


A partial differential system arising in the moisture transport in concrete carbonation modeling is considered. The system consists of a diffusion equation for moisture and an ordinary differential equation accounting for the hysteresis effect appearing in the process. The existence of solutions for this system supplied with suitable initial boundary conditions and having fairly general nonlinear right-hand sides is established. When the dimension of the space domain is one, the uniqueness of a solution is also provided.

Original languageEnglish
Pages (from-to)1502-1519
Number of pages18
JournalJournal of Mathematical Analysis and Applications
Issue number2
Publication statusPublished - 15 May 2017
Externally publishedYes


  • Concrete carbonation
  • Evolution system
  • Hysteresis


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