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
    • General Engineering
    • Computer Science Applications
    • Applied Mathematics

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