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

T. Aiki, A. Muntean

Research output: Book/ReportReportAcademic

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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 (/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.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages20
Publication statusPublished - 2013

Publication series

NameCASA-report
Volume1314
ISSN (Print)0926-4507

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