Existence and uniqueness for a concrete carbonation process with hysteresis
Existence and uniqueness for a concrete carbonation process with hysteresis
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具有滞后现象的混凝土碳化过程的存在性和唯一性
DOI：
10.1016/j.jmaa.2016.12.086
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发表时间：
2017
影响因子：
1.3
通讯作者：
Sergey A. Timoshin
中科院分区：
文献类型：
--
作者：
Toyohiko Aiki;Sergey A. Timoshin
本文考虑了混凝土碳化模型中水分运移的偏微分方程组。该系统由一个水分扩散方程和一个考虑滞后效应的常微分方程组成。在适当的初边值条件下，证明了该方程组解的存在性。当空间域的维数为1时，还证明了解的唯一性。
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.