On a coupled system of reaction-diffusion-transport equations arising from catalytic converter

C. V. Pao, Yu-Hsien Chang, Guo Chin Jau

研究成果: 雜誌貢獻文章

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
14
發行號6
DOIs
出版狀態已發佈 - 2013 十二月 1

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Economics, Econometrics and Finance(all)
  • Computational Mathematics
  • Applied Mathematics

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