## 摘要

This paper is concerned with two mathematical models which describe the transient behavior of a catalytic converter in automobile engineering. The first model consists of a coupled system of a heat-conduction equation and two integral equations while the second model involves only one integral equation. It is shown that for any nonnegative initial and boundary functions the three-equation model has a unique bounded global solution while the solution of the two-equation model blows up in finite time. The proof for the global existence and finite-time blow-up property of the solution is by the method of upper and lower solutions and its associated monotone iteration. This method can be used to develop computational algorithms for numerical solutions of the coupled systems.

原文 | 英語 |
---|---|

頁（從 - 到） | 2152-2165 |

頁數 | 14 |

期刊 | Nonlinear Analysis: Real World Applications |

卷 | 14 |

發行號 | 6 |

DOIs | |

出版狀態 | 已發佈 - 2013 12月 |

## ASJC Scopus subject areas

- 一般工程
- 計算數學
- 分析
- 應用數學
- 一般經濟，計量經濟和金融