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

Danielle Hilhorst; Hideki Murakawa

doi:10.3934/nhm.2014.9.669

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

Danielle Hilhorst, Hideki Murakawa

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (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 language	English
Pages (from-to)	669-682
Number of pages	14
Journal	Networks and Heterogeneous Media
Volume	9
Issue number	4
DOIs	https://doi.org/10.3934/nhm.2014.9.669
Publication status	Published - 2014

All Science Journal Classification (ASJC) codes

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

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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.",

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