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 | |
| Publication status | Published - Jan 1 2014 |
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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 journal › Article
}
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.
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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 -