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

机译:相间传热中催化转化器解决方案的爆炸性和全球性

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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 sigma, that a unique bounded global solution exists if sigma < <(sigma)under bar> and the solution blows upin finite time if sigma > (sigma) over bar, where (sigma) under bar < <(sigma)over bar>. Various estimates for (sigma) over bar 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. (C) 2007 Elsevier Ltd. All rights reserved.
机译:在本文中,我们研究了由汽车工程中的催化转化器产生的一阶偏微分方程和常微分方程耦合系统的解的爆破性质和整体解的存在性。根据单个物理参数sigma,如果sigma bar下的sigma,存在唯一的有界整体解,并且如果sigma>(sigma)超过bar,则解决方案在有限时间内爆炸,其中(sigma)在(sigma over bar)上方的横线下。明确给出了整个bar的σ估计值及其相关的爆炸时间T *。 T *的值可用于估计点火系统的点火时间和点火长度,这是汽车工程中的重要问题。 (C)2007 Elsevier Ltd.保留所有权利。

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