### 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 |
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Pages (from-to) | 150-170 |

Number of pages | 21 |

Journal | Journal of Mathematical Analysis and Applications |

Volume | 379 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jul 1 2011 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics

### Cite this

*Journal of Mathematical Analysis and Applications*,

*379*(1), 150-170. https://doi.org/10.1016/j.jmaa.2010.12.040

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

Research output: Contribution to journal › Article

*Journal of Mathematical Analysis and Applications*, vol. 379, no. 1, pp. 150-170. https://doi.org/10.1016/j.jmaa.2010.12.040

}

TY - JOUR

T1 - Fast reaction limit of a three-component reaction-diffusion system

AU - Murakawa, Hideki

AU - Ninomiya, H.

PY - 2011/7/1

Y1 - 2011/7/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=79952191463&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952191463&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2010.12.040

DO - 10.1016/j.jmaa.2010.12.040

M3 - Article

AN - SCOPUS:79952191463

VL - 379

SP - 150

EP - 170

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -