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 and the solution blows up in finite time if , where . Various estimates for 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.
關聯:
Nonlinear Analysis: Real World Applications, V9(3), P.822-829
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