Multiscale model for moisture transport with adsorption phenomenon in concrete materials

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.

Keywords:

• Two-scale model
• free boundary problem
• quasilinear parabolic equation
• moisture transport

AMS Subject Classifications:

• 35R35
• 35K59
• 76S05

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by JSPS Grand-in-Aid for Scientific Research (C) [grant number 15K04969]; JSPS Grant-in-Aid for Young Scientists (B) [grant number 16K17636].