Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium

Danielle Hilhorst, Hideki Murakawa

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper we consider a three-component reaction-diffusion system with a fast precipitation and dissolution reaction term. We investigate its singular limit as the reaction rate tends to infinity. The limit problem is described by a combination of a Stefan problem and a linear heat equation. The rate of convergence with respect to the reaction rate is established in a specific case.

Original languageEnglish
Pages (from-to)669-682
Number of pages14
JournalNetworks and Heterogeneous Media
Volume9
Issue number4
DOIs
Publication statusPublished - 2014

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Engineering(all)
  • Computer Science Applications
  • Applied Mathematics

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