Multiscale model for moisture transport with adsorption phenomenon in concrete materials. Issue 1 (2nd January 2018)

• Record Type: Journal Article
• Authors: Kumazaki, Kota; Aiki, Toyohiko; Sato, Naoki; Murase, Yusuke
• Is Part Of: Applicable analysis. Volume 97:Issue 1(2018)
• Page Start: 41
• Page End: 54
• Publication Date: 2018-01-02
• Subjects: Two-scale model -- free boundary problem -- quasilinear parabolic equation -- moisture transport; 35R35 -- 35K59 -- 76S05; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2017.1325473
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract: We consider a new two-scale problem which is given as a mathematical model for moisture transport arising in a concrete carbonation process. In research for moisture transport, it is a crucial step how to describe the relationship between the relative humidity and the degree of saturation, mathematically. Here, we have proposed the two-scale model consisting of the diffusion equation for the relative humidity in a macro domain and the free boundary problems describing the relationship in infinitely micro domains. Accordingly, the structures of the micro domains are unknown in our model. This is a significant feature of our new model to emphasize. The aim of this paper is to establish local existence in time and uniqueness of a solution to the model.