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

โœ Scribed by Yu-Hsien Chang; Guo-Chin Jau; C.V. Pao

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
167 KB
Volume
9
Category
Article
ISSN
1468-1218

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โœฆ Synopsis

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 , 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.

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