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Semilinear elliptic boundary-value problems in combustion theory*

Published online by Cambridge University Press:  12 July 2007

Kazuaki Taira
Kazuaki Taira
Affiliation:
Institute of Mathematics, University of Tsukuba, Tsukuba 305-8571, Japan
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Abstract

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This paper is devoted to the study of semilinear degenerate elliptic boundary-value problems arising in combustion theory that obey a general Arrhenius equation 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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 6 , December 2002 , pp. 1453 - 1476
Copyright
Copyright © Royal Society of Edinburgh 2002

References

* Dedicated to the memory of Professor Osamu Miyamura.