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Global Existence of a Solution for a Multiscale Model Describing Moisture Transport in Concrete Materials


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Title: Global Existence of a Solution for a Multiscale Model Describing Moisture Transport in Concrete Materials
Authors: Kumazaki, Kota
Issue Date: 2019
Publisher: Irkutsk State University
Citation: Bulletin of Irkutsk State University, Series Mathematics, 28, pp.69-84; 2019
Abstract: In the previous study [5] we proved the existence of a solution locally in time for a two-scale problem which is given as a mathematical model for moisture transport arising in a concrete carbonation process. The two-scale model consists of a diffusion equation of the relative humidity in a macro domain and the free boundary problems describing a wetting and drying process in infinite micro domains. In this paper, by improving the diffusion equation of the relative humidity based on the experimental result [3; 10], we construct a globally-in-time solution of the two scale model. For the global existence, we obtain uniform estimates and uniform boundedness of the solution with respect to time and use the method of extending local solutions.
Keywords: Free boundary problem / Moisture transport / Quasilinear parabolic equation / Two-scale model
URI: http://hdl.handle.net/10069/39363
ISSN: 19977670
DOI: 10.26516/1997-7670.2019.28.69
Rights: © 2019 Irkutsk State University. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Type: Journal Article
Text Version: publisher
Appears in Collections:Articles in academic journal

Citable URI : http://hdl.handle.net/10069/39363

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