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

Danielle Hilhorst, Hideki Murakawa

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)669-682
Number of pages14
JournalNetworks and Heterogeneous Media
Volume9
Issue number4
DOIs
Publication statusPublished - Jan 1 2014

Fingerprint

Limit Analysis
Singular Limit
Dissolution
Reaction Rate
Reaction-diffusion System
Reaction rates
Porous Media
Porous materials
Stefan Problem
Heat Equation
Linear equation
Rate of Convergence
Infinity
Tend
Term
Hot Temperature

All Science Journal Classification (ASJC) codes

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

Cite this

Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium. / Hilhorst, Danielle; Murakawa, Hideki.

In: Networks and Heterogeneous Media, Vol. 9, No. 4, 01.01.2014, p. 669-682.

Research output: Contribution to journalArticle

@article{b4f569cb05db46c2a0c97dd1d9b69914,
title = "Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium",
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.",
author = "Danielle Hilhorst and Hideki Murakawa",
year = "2014",
month = "1",
day = "1",
doi = "10.3934/nhm.2014.9.669",
language = "English",
volume = "9",
pages = "669--682",
journal = "Networks and Heterogeneous Media",
issn = "1556-1801",
publisher = "American Institute of Mathematical Sciences",
number = "4",

}

TY - JOUR

T1 - Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium

AU - Hilhorst, Danielle

AU - Murakawa, Hideki

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84915771343&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84915771343&partnerID=8YFLogxK

U2 - 10.3934/nhm.2014.9.669

DO - 10.3934/nhm.2014.9.669

M3 - Article

AN - SCOPUS:84915771343

VL - 9

SP - 669

EP - 682

JO - Networks and Heterogeneous Media

JF - Networks and Heterogeneous Media

SN - 1556-1801

IS - 4

ER -