Existence and uniqueness for a concrete carbonation process with hysteresis

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:449

Article

Aiki, Toyohiko¹  Timoshin, Sergey A.² 

[1] Japan Womens Univ, Fac Sci, Dept Math & Phys Sci, Bunkyo Ku, 2-8-1 Mejirodai, Tokyo 1128681, Japan

[2] Russian Acad Sci, Siberian Branch, Inst Syst Dynam & Control Theory, Lermontov Str 134, Irkutsk 664033, Russia

关键词: Evolution system;    Hysteresis;    Concrete carbonation;   

DOI  :  10.1016/j.jmaa.2016.12.086

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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