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

DOI10.1016/j.na.2013.07.002zbMath1282.35418arXiv1301.1709OpenAlexW2067070702MaRDI QIDQ2637681

Adrian Muntean, Toyohiko Aiki

Publication date: 13 February 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1709

zbMATH Keywords

free boundary problemlarge-time behaviorconcrete carbonationHenry's lawtime-dependent Dirichlet data

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Perturbations in context of PDEs (35B20) Free boundary problems for PDEs (35R35)

Related Items (5)

A free boundary problem describing migration into rubbers – Quest for the large time behavior ⋮ Extreme solutions in control of moisture transport in concrete carbonation ⋮ A one dimensional free boundary problem for adsorption phenomena ⋮ On the existence of weak solutions for a 1-D free-boundary concrete carbonation problem ⋮ Convergence of a finite volume scheme for a parabolic system with a free boundary modeling concrete carbonation

Cites Work

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• A free-boundary problem for concrete carbonation: front nucleation and rigorous justification of the \(\sqrt{{t}}\)-law of propagation
• Large time behavior of solutions to a moving-interface problem modeling concrete carbonation
• A multiscale Galerkin approach for a class of nonlinear coupled reaction-diffusion systems in complex media
• Different choices of scaling in homogenization of diffusion and interfacial exchange in a porous medium

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