Relaxation for a control problem in concrete carbonation modeling

Toyohiko Aiki*, Sergey A. Timoshin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


A nonlinear partial differential control system subject to a state-dependent and nonconvex constraint is considered. This system arises in concrete carbonation modeling and takes account of hysteresis effects. We prove the existence of solutions to the system and establish the relaxation property: The density in an appropriate topology of solutions among solutions of the system with the convexified control constraint.

Original languageEnglish
Pages (from-to)3489-3502
Number of pages14
JournalSIAM Journal on Control and Optimization
Issue number6
Publication statusPublished - 2017
Externally publishedYes


  • Concrete carbonation
  • Hysteresis
  • Nonlinear evolution control systems
  • Relaxation


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