### Abstract

A reaction-diffusion system which is related to a simple irreversible chemical reaction between two chemical substances is considered. When a non-negative global solution for the system converges uniformly to zero with polynomial rate as time goes to infinity, large-time approximation of the solution is studied. It is shown that the difference of the solution and its spatial average tends to zero with exponential rate via a global solution for the corresponding system of ordinary differential equations.

Original language | English |
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Pages (from-to) | 897-904 |

Number of pages | 8 |

Journal | Mathematical Models and Methods in Applied Sciences |

Volume | 8 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1998 Jan 1 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Modelling and Simulation
- Applied Mathematics

### Cite this

**Exponentially decaying component of a global solution to a reaction-diffusion system.** / Hoshino, Hiroki; Kawashima, Shuichi.

Research output: Contribution to journal › Article

*Mathematical Models and Methods in Applied Sciences*, vol. 8, no. 5, pp. 897-904. https://doi.org/10.1142/S0218202598000408

}

TY - JOUR

T1 - Exponentially decaying component of a global solution to a reaction-diffusion system

AU - Hoshino, Hiroki

AU - Kawashima, Shuichi

PY - 1998/1/1

Y1 - 1998/1/1

N2 - A reaction-diffusion system which is related to a simple irreversible chemical reaction between two chemical substances is considered. When a non-negative global solution for the system converges uniformly to zero with polynomial rate as time goes to infinity, large-time approximation of the solution is studied. It is shown that the difference of the solution and its spatial average tends to zero with exponential rate via a global solution for the corresponding system of ordinary differential equations.

AB - A reaction-diffusion system which is related to a simple irreversible chemical reaction between two chemical substances is considered. When a non-negative global solution for the system converges uniformly to zero with polynomial rate as time goes to infinity, large-time approximation of the solution is studied. It is shown that the difference of the solution and its spatial average tends to zero with exponential rate via a global solution for the corresponding system of ordinary differential equations.

UR - http://www.scopus.com/inward/record.url?scp=0032393053&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032393053&partnerID=8YFLogxK

U2 - 10.1142/S0218202598000408

DO - 10.1142/S0218202598000408

M3 - Article

VL - 8

SP - 897

EP - 904

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

SN - 0218-2025

IS - 5

ER -