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We study the large-time behavior of the free boundary position capturing theone-dimensional motion of the carbonation reaction front in concrete-basedmaterials. We extend here our rigorous justification of the $\sqrt{t}$-behaviorof reaction penetration depths by including non-linear effects due todeviations from the classical Henry's law and time-dependent Dirichlet data.

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