Semilinear elliptic boundary value problems in chemical reactor theory

被引：6

作者：

Taira, K ^{[1
]}

Umezu, K

机构：

[1] Hiroshima Univ, Dept Math, Higashihiroshima 739, Japan

[2] Maebashi Inst Technol, Maebashi, Gumma 371, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 142卷 / 02期

关键词：

semilinear elliptic boundary value problem; Arrhenius rate law; Newtonian cooling; ignition; estimation;

D O I：

10.1006/jdeq.1997.3349

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of semilinear elliptic boundary value problems arising in chemical reactor theory which obey the simple Arrhenius rate law and Newtonian cooling. We prove that ignition and extinction phenomena occur in the stable steady temperature profile at some critical values of a dimensionless heat evolution rate. (C) 1998 Academic Press.

引用

页码：434 / 454

页数：21

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