Large-time asymptotics of moving-reaction interfaces involving nonlinear Henry's law and time-dependent Dirichlet data

We study the large-time behavior of the free boundary position capturing the one-dimensional motion of the carbonation reaction front in concrete-based materials. We extend here our rigorous justification of the View the MathML sourcet-behavior of reaction penetration depths by including nonlinear effects due to deviations from the classical Henry’s law and time-dependent Dirichlet data. Keywords: Free boundary problem; Concrete carbonation; Henry’s law; Large-time behavior; Time-dependent Dirichlet data