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

摘要

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, 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 (c) 2014 John Wiley & Sons, Ltd.