Article ID Journal Published Year Pages File Type
838672 Nonlinear Analysis: Real World Applications 2008 8 Pages PDF
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 σσ, that a unique bounded global solution exists if σ<σ̲ and the solution blows up in finite time if σ>σ¯, where σ̲<σ¯. Various estimates for σ¯ and its associate blow-up time T*T* are explicitly given. The value of T*T* can be used to estimate the ignition time and ignition length of the ignition system which is an important concern in automobile engineering.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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