A mathematical analysis of thermal explosions

Kazuaki Taira

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-27

Abstract:

This paper is devoted to the study of semilinear degenerate elliptic boundary value problems arising in combustion theory which obey the simple Arrhenius rate law and a general Newton law of heat exchange. We prove that ignition and extinction phenomena occur in the stable steady temperature profile at some critical values of a dimensionless rate of heat production.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:174310

DOI: 10.1155/S0161171201006706

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