Large-time asymptotics of moving-reaction interfaces involving nonlinear Henry’s law and time-dependent Dirichlet data. (English) Zbl 1282.35418
Summary: 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 \(t\)-behavior of reaction penetration depths by including nonlinear effects due to deviations from the classical Henry’s law and time-dependent Dirichlet data.
MSC:
| 35R35 | Free boundary problems for PDEs |
| 35B20 | Perturbations in context of PDEs |
| 76S05 | Flows in porous media; filtration; seepage |
Keywords:
free boundary problem; concrete carbonation; Henry’s law; large-time behavior; time-dependent Dirichlet dataReferences:
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