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

uTaipei > College of Science > Department of Mathematic and Computer Science Education > Periodical Articles > Item 987654321/2694

Please use this identifier to cite or link to this item: http://utaipeir.lib.utaipei.edu.tw/dspace/handle/987654321/2694

Title:	Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer
Authors:	Yu-Hsien Chang Guo-Chin Jau C.V. Pao 趙國欽張幼賢
Contributors:	臺北市立教育大學數學資訊教育學系
Keywords:	Blowup of solution Global existence Upper and lower solutions Monotone iterations Interphase heat-transfer Ignition time
Date:	2008
Issue Date:	2009-08-04 10:34:42 (UTC+8)
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 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.
Relation:	Nonlinear Analysis: Real World Applications, V9(3), P.822-829
Appears in Collections:	[Department of Mathematic and Computer Science Education] Periodical Articles

Files in This Item:

There are no files associated with this item.