# Fast reaction limit of a three-component reaction-diffusion system

Hideki Murakawa, H. Ninomiya

Research output: Contribution to journalArticle

12 Citations (Scopus)

### Abstract

We consider a three-component reaction-diffusion system with a reaction rate parameter, and investigate its singular limit as the reaction rate tends to infinity. The limit problem is given by a free boundary problem which possesses three regions separated by the free boundaries. One component vanishes and the other two components remain positive in each region. Therefore, the dynamics is governed by a system of two equations.

Original language English 150-170 21 Journal of Mathematical Analysis and Applications 379 1 https://doi.org/10.1016/j.jmaa.2010.12.040 Published - Jul 1 2011 Yes

### Fingerprint

Reaction-diffusion System
Reaction rates
Reaction Rate
Singular Limit
Free Boundary Problem
Free Boundary
Vanish
Infinity
Tend

### All Science Journal Classification (ASJC) codes

• Analysis
• Applied Mathematics

### Cite this

Fast reaction limit of a three-component reaction-diffusion system. / Murakawa, Hideki; Ninomiya, H.

In: Journal of Mathematical Analysis and Applications, Vol. 379, No. 1, 01.07.2011, p. 150-170.

Research output: Contribution to journalArticle

Murakawa, Hideki ; Ninomiya, H. / Fast reaction limit of a three-component reaction-diffusion system. In: Journal of Mathematical Analysis and Applications. 2011 ; Vol. 379, No. 1. pp. 150-170.
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