English

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

Analysis of PDEs 2013-01-10 v1

Abstract

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\sqrt{t}-behavior of reaction penetration depths by including non-linear effects due to deviations from the classical Henry's law and time-dependent Dirichlet data.

Keywords

Cite

@article{arxiv.1301.1709,
  title  = {Large-time asymptotics of moving-reaction interfaces involving nonlinear Henry's law and time-dependent Dirichlet data},
  author = {Toyohiko Aiki and Adrian Muntean},
  journal= {arXiv preprint arXiv:1301.1709},
  year   = {2013}
}

Comments

19 pages