Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer

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

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper we investigate the blowup property and global existence of a solution for a coupled system of first-order partial differential equation and ordinary differential equation which arises from a catalytic converter in automobile engineering. It is shown, in terms of a single physical parameter σ, that a unique bounded global solution exists if σ < under(σ, {combining low line}) and the solution blows up in finite time if σ > over(σ, -), where under(σ, {combining low line}) < over(σ, -). Various estimates for over(σ, -) and its associate blow-up time T* are explicitly given. The value of T* can be used to estimate the ignition time and ignition length of the ignition system which is an important concern in automobile engineering.

Original languageEnglish
Pages (from-to)822-829
Number of pages8
JournalNonlinear Analysis: Real World Applications
Volume9
Issue number3
DOIs
Publication statusPublished - 2008 Jul 1

Fingerprint

Automotive engineering
Catalytic converters
Ignition
Converter
Global Existence
Blow-up
Heat Transfer
Existence of Solutions
Automobile
Heat transfer
Ignition systems
Ordinary differential equations
Partial differential equations
Engineering
Blow-up Time
First order differential equation
Global Solution
Estimate
Coupled System
Ordinary differential equation

Keywords

  • Blowup of solution
  • Global existence
  • Ignition time
  • Interphase heat-transfer
  • Monotone iterations
  • Upper and lower solutions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Mathematics(all)
  • Modelling and Simulation
  • Engineering (miscellaneous)

Cite this

Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer. / Chang, Yu Hsien; Jau, Guo Chin; Pao, C. V.

In: Nonlinear Analysis: Real World Applications, Vol. 9, No. 3, 01.07.2008, p. 822-829.

Research output: Contribution to journalArticle

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