University of Taipei:Item 987654321/2694
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    题名: Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer
    作者: Yu-Hsien Chang
    Guo-Chin Jau
    C.V. Pao
    趙國欽
    張幼賢
    贡献者: 臺北市立教育大學數學資訊教育學系
    关键词: Blowup of solution
    Global existence
    Upper and lower solutions
    Monotone iterations
    Interphase heat-transfer
    Ignition time
    日期: 2008
    上传时间: 2009-08-04 10:34:42 (UTC+8)
    摘要: 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
    显示于类别:[數學系(含數學教育碩士班)] 期刊論文

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