Multiscale model for moisture transport with adsorption phenomenon in concrete materials |
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Authors: | Kota Kumazaki Toyohiko Aiki Naoki Sato Yusuke Murase |
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Institution: | 1. Department of Natural and Physical Sciences, Tomakomai National College of Technology, Tomakomai, Japan.k.kumazaki@tomakomai-ct.ac.jp;3. Faculty of Science, Department of Mathematics, Japan Woman’s University, Tokyo, Japan.;4. Division of Education, Nagaoka College of Technology, Niigata, Japan.;5. Faculty of Science and Technology, Department of Mathematics, Meijo University, Nagoya, Japan. |
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Abstract: | AbstractWe 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. |
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Keywords: | Two-scale model free boundary problem quasilinear parabolic equation moisture transport |
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