Existence and uniqueness for a concrete carbonation process with hysteresis

Toyohiko Aiki; Sergey A. Timoshin

doi:10.1016/j.jmaa.2016.12.086

Existence and uniqueness for a concrete carbonation process with hysteresis

Toyohiko Aiki, Sergey A. Timoshin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	1502-1519
Number of pages	18
Journal	Journal of Mathematical Analysis and Applications
Volume	449
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2016.12.086
Publication status	Published - 15 May 2017
Externally published	Yes

Keywords

Concrete carbonation
Evolution system
Hysteresis

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10.1016/j.jmaa.2016.12.086

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abstract = "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.",

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AU - Timoshin, Sergey A.

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N2 - 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.

AB - 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.

KW - Concrete carbonation

KW - Evolution system

KW - Hysteresis

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JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Existence and uniqueness for a concrete carbonation process with hysteresis

Abstract

Keywords

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