Semilinear elliptic boundary value problems in chemical reactor theory

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:142

Article

Taira, K ; Umezu, K

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

DOI  :  10.1006/jdeq.1997.3349

来源: Elsevier

【 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.

【 授权许可】

Free