Large-time behavior of a two-scale semilinear reaction-diffusion system for concrete sulfatation

T. Aiki, A. Muntean

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We study the large-time behavior of (weak) solutions to a two-scale reaction–diffusion system coupled with a nonlinear ordinary differential equations modeling the partly dissipative corrosion of concrete (or cement)-based materials with sulfates. We prove that as t¿¿¿8¿, the solution to the original two-scale system converges to the corresponding two-scale stationary system. To obtain the main result, we make use essentially of the theory of evolution equations governed by subdifferential operators of time-dependent convex functions developed combined with a series of two-scale energy-like time-independent estimates. Copyright © 2014 John Wiley & Sons, Ltd. Keywords: large-time asymptotics; two-scale system; reaction–diffusion system; concrete corrosion; homogenization
Original languageEnglish
Pages (from-to)1451-1464
Number of pages14
JournalMathematical Methods in the Applied Sciences
Volume38
Issue number7
DOIs
Publication statusPublished - 2015

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